Landen inequalities for Gaussian hypergeometric function View Full Text


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Article Info

DATE

2021-12-26

AUTHORS

Tie-Hong Zhao, Miao-Kun Wang, Guo-Jing Hai, Yu-Ming Chu

ABSTRACT

In the article, we present several Landen inequalities, and quadratic and cubic transformation inequalities for general Gaussian hypergeometric function 2F1(a,b;c;x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_2F_1(a,b;c;x)$$\end{document}. Our obtained results are the generalizations and improvements of the previously known results.

PAGES

53

References to SciGraph publications

  • 2007-10-20. Modular equations and distortion functions in THE RAMANUJAN JOURNAL
  • 2021-01-07. Monotonicity and convexity involving generalized elliptic integral of the first kind in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A. MATEMÁTICAS
  • 2018-01-10. Weighted almost convergence and related infinite matrices in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2015-05-09. Ramanujan’s cubic transformation and generalized modular equation in SCIENCE CHINA MATHEMATICS
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