01471nam a22002177a 4500 20240205121200.0 240205b ||||| |||| 00| 0 eng d 0019-5588 Wang, Miao-Kun Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications (Journal Article) New Delhi :Indian National Science Academy | Springer ,2023 1105-1124p. Indian Journal of Pure and Applied Mathematics , Volume 54: Number 4, December 2023 ***______{For Hard Copy, Please visit Library.}________*** Abstract: This paper deals with the monotonicity and concavity properties of certain functions involving the Gaussian hypergeometric function. With these results, we not only obtain sharp bounds for the ratio of hypergeometric functions which extend recently discovered inequalities for k-balanced hypergeometric functions, and but also give an affirmative answer to an open problem proposed by Qiu and Vuorinen. In addition, as by-products, some monotonicity theorems for complete p-elliptic integrals and inequalities for generalized Grötzsch ring function are established. Gaussian hypergeometric function| Complete p-elliptic integrals| Ratio function| Monotonicity| Concavity Zhao, Tie-Hong | He, Zai-Yin https://doi.org/10.1007/s13226-022-00325-7 PER 0 0 0 0 RIEBPL RIEBPL 2024-02-05 0 2024-02-05 00:00:00 2024-02-05 PER 45415 45414