Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions

By Miao-Kun Wang, Y. Chu, Ye-Ping Jiang. 2012

77 citations recorded by the source corpus.

In this paper, a generalization of Ramanujan's cubic transformation, in the form of an inequality, is proved for zero-balanced Gaussian hypergeometric function $F(a,b;a+b;x)$, $a,b>0$.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/467695f7a5ff8461fd2ef5ff5f220f70b6e61bbe

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Tie-hong Zhao
2. Zai-Yin He
3. Y. Chu

In Applied Mathematics

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

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”
• Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications (2020, unknown): “􏽚 d2 d1 φ1(y)dαy ≕􏽚 d2 d1 φ1(y)y α− (1)dy, (10) exists and is finite.”