TY  - BOOK
AU  - Wang, Miao-Kun 
AU  - Zhao, Tie-Hong | He, Zai-Yin 
TI  - Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications (Journal Article)
SN  - 0019-5588
PY  - 2023///
CY  - New Delhi
PB  - :Indian National Science Academy | Springer
KW  - Gaussian hypergeometric function| Complete p-elliptic integrals| Ratio function| Monotonicity| Concavity
N1  - 


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N2  - 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
UR  - https://doi.org/10.1007/s13226-022-00325-7
ER  -