Wang, Miao-Kun creator Zhao, Tie-Hong | He, Zai-Yin text New Delhi :Indian National Science Academy | Springer ,2023 monographic eng

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1105-1124p. 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. ***______{For Hard Copy, Please visit Library.}________*** Gaussian hypergeometric function| Complete p-elliptic integrals| Ratio function| Monotonicity| Concavity 0019-5588 https://doi.org/10.1007/s13226-022-00325-7 https://doi.org/10.1007/s13226-022-00325-7 240205 20240205121200.0