Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind-Reference-Cited by-同舟云学术

Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind

Published:2021-06-01 Issue:3 Volume:71 Page:667-682
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Tan Shen-Yang¹,Huang Ti-Ren²,Chu Yu-Ming³⁴

Affiliation:

1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology , Nanjing , 210044 , China

2. Department of Mathematics , Zhejiang Sci-Tech University , Hangzhou , 310018 , China

3. Department of Mathematics , Huzhou University , Huzhou , 313000 , China

4. School of Mathematics and Statistics , Changsha University of Science & Technology , Changsha , 410114 , China

Abstract

Abstract In the article, we present several new functional inequalities for the Gaussian hypergeometric function and generalized elliptic integral of the first kind.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2021-0012/pdf

Reference62 articles.

1. Abramowitz, M.—Stegun, I. A.: Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, U.S. Government Printing Office, Washington, 1964.

2. Alzer, H.—Richards, K.: A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities, Anal. Math. 41 (2015), 133–139.

3. Anderson, G. D.—Barnard, R. W.—Richards, K. C.—Vamanamurthy, M. K.—Vuorinen, M.: Inequalities for zero-balanced hypergeometric functions, Trans. Amer. Math. Soc. 347 (1995), 1713–1723.

4. Biernacki, M.—Krzyż, J.: On the monotonity of certain functionals in the theory of analytic functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 9 (1995), 135–147.

5. Chu, Y.-M.—Qiu, Y.-F.—Wang, M.-K.: Hölder mean inequalities for the complete elliptic integrals, Integral Transforms Spec. Funct. 23 (2012), 521–527.

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Sharp Approximations for the Generalized Elliptic Integral of the First Kind;Mathematica Slovaca;2023-03-31

2. A Brief Overview and Survey of the Scientific Work by Feng Qi;Axioms;2022-08-05

3. Simulation of charging of PCM within a duct containing nanoparticles;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2022-05-17

4. On the monotonicity and convexity for generalized elliptic integral of the first kind;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-02-25

5. RETRACTED ARTICLE: Solar radiation impact on ferrofluid convection with applying electric field;Applied Nanoscience;2022-02-06