On some refinements for inequalities involving zero-balanced hypergeometric function

By Tie-hong Zhao, Zai-Yin He, Y. Chu. 2020

164 citations recorded by the source corpus.

In the article, we present an elegant double inequality for the ratio of the zero-balanced hypergeometric functions, which improve and refine some previously known results and also give a positive answer the question by proposed by Ismail.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0db01dc82484950c885a72c0b250101cc28f1052

How researchers see this paper

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In Applied Mathematics

1. Tie-hong Zhao
2. Y. Chu
3. Zai-Yin He
4. Zhonghua Shen
5. Miao-Kun Wang
6. Saima Rashid
7. Wei-Mao Qian
8. M. Adil Khan

In Geometry and Topology

1. Tie-hong Zhao
2. Y. Chu
3. Zai-Yin He
4. Zhonghua Shen
5. Miao-Kun Wang
6. Saima Rashid
7. Hong-Hu Chu
8. M. Adil Khan

Citations in the corpus

• Sharp Bounds for the Weighted Hölder Mean of the Zero-Balanced Generalized Complete Elliptic Integrals (2020, background): “, the Gaussian hypergeometric function [1,5,20,34] is defined by”
• Sharp power mean bounds for the lemniscate type means (2021, background): “2018, Article 251 (2018) [21] Zhao, T-H; He, Z-Y; Chu, Y-M, On some refinements for inequalities involving zero-balanced hypergeometric function, AIMS Math.”