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Dr. G. Saravanan

Assistant Professor (Sr. Gd.), Department of Science and Humanities (Mathematics ), Amrita School of Engineering, Chennai.

Qualification: MPhil, MSc, Ph.D
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Bio

Dr. Saravanan G currently serves as an Assistant Professor (Sr. Gd.) in the Department of Science and Humanities (Mathematics), Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Chennai Campus.

He has 7 years and 10 months of Teaching and Research Experience. He has published 16+ research Articles in Peer-reviewed International Journals (SCI, SCIE, and Scopus-indexed journals) with the highest Impact Factor of 2.5 and 2 Book Chapters. In addition to that, attended various International Conferences, Faculty Development programs, Workshops, and Training Programs. Presently, he is an Active Reviewer for many journals.

Publications

Journal Article

Year : 2024

Subclasses of Analytic Functions Subordinated to the Four-Leaf Function

Cite this Research Publication : Gunasekar, Saravanan, Baskaran Sudharsanan, Musthafa Ibrahim, and Teodor Bulboacă. "Subclasses of Analytic Functions Subordinated to the Four-Leaf Function." Axioms 13, no. 3 (2024): 155

Publisher : Axioms

Year : 2024

Horadam polynomials for a new subclass of Sakaguchi-type bi-univalent functions defined by $({p},{q}) $-derivative operator

Cite this Research Publication : Vanithakumari, B., G. SARAVANAN, S. Baskaran, and Sibel Yalcin. "Horadam polynomials for a new subclass of Sakaguchi-type bi-univalent functions defined by $({p},{q}) $-derivative operator." (2024): 461-470

Year : 2024

Sakaguchi type functions are defined by balancing polynomials

Cite this Research Publication : Saravanan, Gunasekar, Sudharsanan Baskaran, Balasubramaniam Vanithakumari, and Serap Bulut. "Sakaguchi type functions are defined by balancing polynomials." Mathematica Bohemica

Publisher : Mathematica Bohemica

Year : 2023

On a Class Sakaguchi Type of order lambda defined by (p,q)- derivative operators using Horadam Polynomial

Cite this Research Publication : S. Baskaran, G. Saravanan, and B.Vanithakumari “On a Class Sakaguchi Type of order lambda defined by (p,q)- derivative operators using Horadam Polynomial ”, International Conference on Research Trends in Contemporary Mathematics (ICRTCM 2023), February 03-04 2023 held at Patrician college of arts and science, Adyar, Chennai.

Publisher : International Conference on Research Trends in Contemporary Mathematics

Year : 2022

A subclass with bi-univalence involving Gegenbauer Polynomials and its coefficient bounds

Cite this Research Publication : S. Baskaran, G. Saravanan and B.Vanithakumari “A subclass with bi-univalence involving Gegenbauer Polynomials and its coefficient bounds”, International virtual conference on Progress in Mathematics towards Industrial Applications (PMTIA- 2022), October 28-29 2022 held at SRM Institute of Science and Technology, Ramapuram Campus, Chennai

Publisher : International virtual conference on Progress in Mathematics towards Industrial Applications

Year : 2022

On a New Subclass of Sakaguchi Type Functions Using (p, q)-Derivative Operator

Cite this Research Publication : Baskaran, S., G. Saravanan, and K. Muthunagai. "On a New Subclass of Sakaguchi Type Functions Using (p, q)-Derivative Operator." In Mathematical Analysis and Applications: MAA 2020, Jamshedpur, India, November 2–4, pp. 273-280. Singapore: Springer Singapore, 2022.

Publisher : Springer

Year : 2022

Sakaguchi-Type function defined by -Fractional (p,q) operator using Laguerre polynomials

Cite this Research Publication : S. Baskaran, G. Saravanan and B.Vanithakumari “Sakaguchi-Type function defined by -Fractional (p,q) operator using Laguerre polynomials”, Palestine Journal of Mathematics, vol 11 (2022), Pg 41 – 47

Publisher : Palestine Journal of Mathematics

Year : 2022

Sakaguchi-Type function defined by (p,q)-Derivative operator using Gegenbauer polynomials

Cite this Research Publication : S. Baskaran, G. Saravanan, Sibel Yalcin and B.Vanithakumari “Sakaguchi-Type function defined by (p,q)-Derivative operator using Gegenbauer polynomials” International Journal of Nonlinear Analysis and Applications, 2022, -. doi: 10.22075/ijnaa.2022.25973.3206

Publisher : International Journal of Nonlinear Analysis and Applications

Year : 2022

On a subclass with bi-univalence using (p,q) – Chebyshev Polynomials

Cite this Research Publication : S. Baskaran, G. Saravanan and B.Vanithakumari “On a subclass with bi-univalence using (p,q) – Chebyshev Polynomials ”, Neuroquantology, vol 20 (11), (2022), Pg 4379 – 4384

Publisher : Neuroquantology

Year : 2021

A subclass with bi-univalence involving Horadam polynomials and its coefficient bounds

Cite this Research Publication : K. Muthunagai., G. Saravanan and S. Baskaran “A subclass with bi-univalence involving Horadam polynomials and its coefficient bounds”, Proyecciones Journal of Mathematics, vol. 40, n 3, (2021), Pg 721-730

Publisher : Proyecciones Journal of Mathematics

Year : 2021

On a New Subclass of Sakaguchi Type Functions Using (p,q)-Derivative Operator

Cite this Research Publication : S Baskaran, G. Saravanan, Muthunagai, K. (2021). On a New Subclass of Sakaguchi Type Functions Using (p,q)-Derivative Operator. In: Chadli, O., Das, S., Mohapatra, R.N., Swaminathan, A. (eds) Mathematical Analysis and Applications. Springer Proceedings in Mathematics & Statistics, vol 381. Springer, Singapore

Publisher : Springer

Year : 2020

A subclass with bi-univalence involving (p,q)- Lucas Polynomials and its coefficient bounds

Cite this Research Publication : SibelYalcin, K. Muthunagai, and G. Saravanan, “A subclass with bi-univalence involving (p,q)- Lucas Polynomials and its coefficient bounds”, Boletin de la SociedadMatemática Mexicana, Vol. 26, 2020, Pg 1015–1022

Publisher : Boletin de la SociedadMatemática Mexicana

Year : 2020

Optimal estimate for the norm of pre-Schwarzian derivative

Cite this Research Publication : K. Muthunagai., G. Saravanan and S. Baskaran “Optimal estimate for the norm of pre-Schwarzian derivative”, Advances in Mathematics: Scientific Journal, vol 9, no 7,4321–4327,2020

Publisher : Advances in Mathematics: Scientific Journal

Year : 2019

Estimation of bounds for initial coefficients and Fekete- Szegö Inequality for a Subclass of Analytic Bi-univalent Functions

Cite this Research Publication : G. Saravanan and K. Muthunagai “Estimation of bounds for initial coefficients and Fekete- Szegö Inequality for a Subclass of Analytic Bi-univalent Functions”, Applied Mathematics and Scientific Computing Springer book series – Trends in Mathematics, pp 57-65, 2019

Publisher : Applied Mathematics and Scientific Computing Springer book series – Trends in Mathematics

Year : 2019

Coefficient bounds for a new subclass of bi-univalent functions defined by q-fractional derivative operator

Cite this Research Publication : G. Saravanan and K. Muthunagai., “Coefficient bounds for a new subclass of bi-univalent functions defined by q-fractional derivative operator”, American Institute of Physics Conference Proceedings, vol -2095, 2019

Publisher : American Institute of Physics Conference Proceedings

Year : 2019

Co-efficient estimates for a subclass of Analytic functions using Faber polynomials

Cite this Research Publication : G. Saravanan and K. Muthunagai., “Co-efficient estimates for a subclass of Analytic functions using Faber polynomials”, Italian Journal of Pure and Applied Mathematics, Vol n. 42, pp 154-160, 2019

Publisher : Italian Journal of Pure and Applied Mathematics

Year : 2018

Coefficient estimates and Fekete-Szegö inequality for a subclass of Analytic functions defined by using symmetric q- derivative operator

Cite this Research Publication : G. Saravanan and K. Muthunagai., “Coefficient estimates and Fekete-Szegö inequality for a subclass of Analytic functions defined by using symmetric q- derivative operator”, Periodicals of Engineering and Natural Sciences,Vol-6, No 1, 2018, Pg. 241-250.

Publisher : Periodicals of Engineering and Natural Sciences

Year : 2018

Some constraints for the Struve function to belong to certain subclasses of Analytic functions

Cite this Research Publication : G. Saravanan and K. Muthunagai “Some constraints for the Struve function to belong to certain subclasses of Analytic functions” International Journal of Innovative Technology and Exploring Engineering (IJITEE), Vol-8, Issue-2S2, 2018, Pg 436-443

Publisher : International Journal of Innovative Technology and Exploring Engineering (IJITEE)

Year : 2017

Coefficient Estimates and Fekete- Szego Inequality for a Subclass of Bi-univalent Functions defined by symmetric q- derivative Operator by using Chebyshev Polynomials Techniques

Cite this Research Publication : G. Saravanan and K. Muthunagai., “Coefficient Estimates and Fekete- Szego Inequality for a Subclass of Bi-univalent Functions defined by symmetric q- derivative Operator by using Chebyshev Polynomials Techniques”, International Conference Advances in Mathematical Sciences ICAMS-2017, December 1-3,2017, held at VIT University, Vellore

Publisher : International Conference Advances in Mathematical Sciences

Year : 2017

Coefficient estimates for the class of Bi-Quasi-Convex functions using Faber polynomials

Cite this Research Publication : G. Saravanan and K. Muthunagai “Coefficient estimates for the class of Bi-Quasi-Convex functions using Faber polynomials” Far East J. Math. Sci. (FJMS), Vol-102, Issue- 10, 2017, Pg. 2267-2276

Publisher : Far East J. Math. Sci. (FJMS)

Conference Paper

Year : 2023

On a subclass of Te-Univalent functions associated with Bernoulli polynomials

Cite this Research Publication : S. Baskaran, G. Saravanan and B.Vanithakumari “On a subclass of Te-Univalent functions associated with Bernoulli polynomials ”, International Conference on Research Trends in Contemporary Mathematics (ICRTCM 2023), February 03-04 2023 held at Patrician college of arts and science, Adyar, Chennai.

Publisher : International Conference on Research Trends in Contemporary Mathematics

Year : 2023

Sakaguchi Type Functions Defined by (p,q)-Derivative operator Using Balancing Polynomials

Cite this Research Publication : G. Saravanan, S. Baskaran, B. Vanithakumari and T. V. Sudharsan “Sakaguchi Type Functions Defined by (p,q)-Derivative operator Using Balancing Polynomials”, 1st International Mathematics Conclave (IMC 2023), November 23-25 2023 held at SASTRA Deemed University, Thanjavur, Tamil Nadu, India.

Publisher : nternational Mathematics Conclave

Year : 2022

Bi-Bazilevič functions using Mittag -Leffler-type Borel distribution associated with Gegenbauer polynomials

Cite this Research Publication : S. Baskaran, G. Saravanan, and B.Vanithakumari“Bi-Bazilevič functions using Mittag -Leffler-type Borel distribution associated with Gegenbauer polynomials” International E- Conference on Pure and Applied Mathematics Sciences (ICPAMS-2022), May 04-07, 2022 held at University of Sfax, Tunisia

Publisher : International E- Conference on Pure and Applied Mathematics Sciences

Year : 2022

On a subclass with bi-univalence using (p,q) – Chebyshev Polynomials

Cite this Research Publication : S. Baskaran, G. Saravanan and B.Vanithakumari “On a subclass with bi-univalence using (p,q) – Chebyshev Polynomials ”, International Conference on recent revolutions in Mathematics, computer science, and applications (ICRRMCSA’22), September 09-10, 2022 held at AgurchandManmull Jain College, Chennai.

Publisher : International Conference on recent revolutions in Mathematics

Year : 2021

Sakaguchi-Type function defined by (p,q)-Derivativeoperator using Gegenbauer polynomials

Cite this Research Publication : S. Baskaran, G. Saravanan and B.Vanithakumari “Sakaguchi-Type function defined by (p,q)-Derivativeoperator using Gegenbauer polynomials.” International Conference on New Trends in Differential Equations and Applied Mathematics (ICNTDEAM – 2021), Sri VidyaMandir Arts and Science College, Tamil Nadu Collaboration with CHRIST (Deemed to be University), Bengaluru & Jyothi Engineering College. Kerala

Year : 2021

Sakaguchi type function defined by (p,q)-fractional operator using Laguerre polynomials

Cite this Research Publication : S. Baskaran, G. Saravanan and B.Vanithakumari “Sakaguchi type function defined by (p,q)-fractional operator using Laguerre polynomials.” International E- Conference on Pure and Applied Mathematics Sciences (ICPAMS-2021), June 07-10, 2021 held at the University of Sfax, Tunisia

Publisher : International E- Conference on Pure and Applied Mathematics Sciences

Year : 2021

Sakaguchi type function defined by (p,q)-fractional operator using Laguerre polynomials

Cite this Research Publication : S. Baskaran, G. Saravanan and B.Vanithakumari “Sakaguchi type function defined by (p,q)-fractional operator using Laguerre polynomials.” International E- Conference on Pure and Applied Mathematics Sciences (ICPAMS-2021), June 07-10, 2021 held at the University of Sfax, Tunisia

Publisher : International E- Conference on Pure and Applied Mathematics Sciences

Year : 2020

On a new subclass of Sakaguchi type functions using (p;q)- derivative operator

Cite this Research Publication : S. Baskaran, G. Saravanan, and K. Muthunagai, “On a new subclass of Sakaguchi type functions using (p;q)- derivative operator”, International Conference on Mathematical Analysis and Applications (MAA 2020), November 02-04, 2020. held at NIT Jamshedpur

Publisher : International Conference on Mathematical Analysis and Applications

Year : 2020

Sakaguchi-Type function defined by (p,q)-Derivative operator using Hordam polynomials

Cite this Research Publication : G. Saravanan, S. Baskaranand N.P. Damodaran, “Sakaguchi-Type function defined by (p,q)-Derivative operator using Hordam polynomials”, International Virtual Conference on Bridging Innovative Trends in Mathematics, Engineering, and Technology - BITMET’20, December 18-19, 2020, held at Bannari Amman Institute of Technology, Sathyamangalam

Year : 2019

Optimal estimate for the norm of pre-Schwarzian derivative

Cite this Research Publication : K. Muthunagai., G. Saravanan and S. Baskaran, “Optimal estimate for the norm of pre-Schwarzian derivative”, Second International Symposium on Geometric Function Theory (ISGFT 2019), December 23-24, 2019 held at SSN College of Engineering Chennai

Publisher : International Symposium on Geometric Function Theory

Year : 2018

Coefficient bounds for a new subclass of Bi-univalent functions defined by q-fractional derivative operator

Cite this Research Publication : G. Saravanan and K. Muthunagai., “Coefficient bounds for a new subclass of Bi-univalent functions defined by q-fractional derivative operator”, National Conference on Mathematical Analysis and Computing (NCMAC-2018), December 13-14, 2018 held at SSN College of Engineering Chennai.

Publisher : National Conference on Mathematical Analysis and Computing

Year : 2018

On the (p,q)- Lucas Polynomial Coefficient Estimates for a New Class of Analytic and Bi-Univalent Functions Defined by a Linear Combination

Cite this Research Publication : G. Saravanan and K. Muthunagai., “On the (p,q)- Lucas Polynomial Coefficient Estimates for a New Class of Analytic and Bi-Univalent Functions Defined by a Linear Combination”, International Conference on Mathematical Methods Modeling and Simulation in Chemical Sciences ICMMSCS- 2018, December 06-08, 2018, held at SSN College of Engineering Chennai.

Publisher : On the (p,q)- Lucas Polynomial Coefficient Estimates for a New Class of Analytic and Bi-Univalent Functions Defined by a Linear Combination

Year : 2018

Fekete- Szego inequality and Coefficient estimates for a subclass of Analytic bi-univalent functions by using Faber polynomials

Cite this Research Publication : G. Saravanan and K. Muthunagai., “Fekete- Szego inequality and Coefficient estimates for a subclass of Analytic bi-univalent functions by using Faber polynomials”, International Conference on Technological Advances in Mechanical Engineering (ICTAME -2018), September 19-20, 2018, held at Amet University Chennai

Publisher : International Conference on Technological Advances in Mechanical Engineering

Year : 2017

Coefficient estimates and Fekete-Szego inequality for a subclass of Analytic functions defined symmetric q- derivative operator by using Faber Polynomials

Cite this Research Publication : G. Saravanan and K. Muthunagai., “Coefficient estimates and Fekete-Szego inequality for a subclass of Analytic functions defined symmetric q- derivative operator by using Faber Polynomials”, International Conference on Mathematical Computer Engineering ICMCE-2017, November 3-4, 2017, held at VIT University, Chennai

Publisher : International Conference on Mathematical Computer Engineering ICMCE

Year : 2017

Co-efficient estimates for a subclass of Analytic functions using Faber polynomials

Cite this Research Publication : Muthunagai. K and G. Saravanan., “Co-efficient estimates for a subclass of Analytic functions using Faber polynomials”, International Conference on Discrete and Computational Mathematics ICDCM-2017, February 16-18, 2017 held at The Gandhigram Rural Institute - Deemed University, Gandhigram - 624 302.

Publisher : International Conference on Discrete and Computational Mathematics ICDCM

Book Chapter

Year : 2019

Estimation of upper bounds for initial coefficients and Fekete-Szegö inequality for a subclass of analytic bi-univalent functions

Cite this Research Publication : Saravanan, G., and K. Muthunagai. "Estimation of upper bounds for initial coefficients and Fekete-Szegö inequality for a subclass of analytic bi-univalent functions." In Applied Mathematics and Scientific Computing: International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017-Volume II, pp. 57-65. Springer International Publishing, 2019.

Publisher : Applied Mathematics and Scientific Computing: International Conference on Advances in Mathematical Sciences

Education
2015– 2020 Ph.D.
Vellore Institute of Technology, Chennai
Dissertation Title: A Disquisition on Specific Properties of Analytic Univalent and Bi-Univalent Functions.
2014 – 2015 M. Phil (Mathematics) – PRESIDENCY College, University of Madras, Chennai.
2012 – 2014 M. Sc. (Mathematics)-
S.I.V.E.T College, University of Madras, Chennai.
2009-2012 B. Sc. (Mathematics)-
S.I.V.E.T College, University of Madras, Chennai.
2016 TNSET – 2016 Examination Qualified.

 

Work Experience
July 2023 to Present Assistant Professor, Assistant Professor, Department of Science and Humanities (Mathematics), Amrita School of Engineering, Chennai Campus
June 2017 – July 2023 Assistant Professor, Patrician College of Arts and Science, Chennai.
August 2016- May 2017 Assistant Professor, Vel Tech University, Chennai.
September 2015 – August 2016 Research Associate, Vellore Institute of Technology, Chennai.

 

Awards & Recognitions
  • Received Endowment scholarship and prize for the “Best Student of the Year” in M.sc
  • Qualified State Eligibility Test (SET), Mother Teresa Women’s University, 2016.
  • In 2022, received the award for research excellence from Patrician College of Arts and Science, Chennai
  • Best Social Services Award received from Nehru Yuva Kendra, Ministry of Youth Affairs & Sports, Government of India, in 2022.
Professional Activities

International Research Collaboration

  1. Dr. Sibel Yalçın, Professor, Department of Mathematics, Faculty of Arts and Science, Bursa Uludag University, TR-16059, Bursa, Turkey.
  2. Dr.Teodor Bulboaca, Professor of Mathematics, Babeș-Bolyai University, Cluj-Napoca, Romania.
  3. Dr. Serap BULUT, Professor of Mathematics, Kocaeli University.
  4. Dr. Abbas Kareem Wanas, Professor, Department of Mathematics, College of Science, University of Al-Qadisiyah, Iraq.
  5. Musthafa Ibrahim, Assistant Professor, Department of Mathematics, University of Buraimi, Al Buraimi, P.O Box No 512, Oman.

Active Reviewer

  1. Proyecciones Journal of Mathematics.
  2. Springer Publication, “Journal of Mathematical Inequalities “
  3. Italian Journal of Pure and Applied Mathematics
  4. Sahand Communications in Mathematical Analysis
  5. European Journal of Pure and Applied Mathematics
  6. Journal of the Nigerian Society of Physical Science
  7. Journal of Function Spaces
  8. Palestine Journal of Mathematics.
  9. raqi Journal of Science.
Invited Talks
  • Delivered an invited lecture on “Applicability of Mathematics in our day-to-day life”, Meston College of Education (Autonomous) Royapettah, Chennai.

Programs Organized:

  1. Organized One-Day National Workshop on R Programming , Patrician college of arts and science, Adyar, Chennai, 6th July, 2019.
  2. Organized Five Day Professional Development Programme for School Teachers on Higher Order Thinking in Mathematics, Patrician college of arts and science, Adyar, Chennai, 31th May 2021 to 5th June 2021.
  3. Organized International Conference on Research Trends in Contemporary Mathematics (ICRTCM 2023), Patrician college of arts and science, Adyar, Chennai, 3rd Feb 2022 to 4th Feb 2022.
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