Théorie des nombres
Monotonicity and sharp inequalities related to complete $\left(p,q\right)$-elliptic integrals of the first kind
Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, pp. 961-970.

With the aid of the monotone L’Hôpital rule, the authors verify monotonicity of some functions involving complete $\left(p,q\right)$-elliptic integrals of the first kind and the inverse of generalized hyperbolic tangent function, derive several sharp inequalities of complete $\left(p,q\right)$-elliptic integrals of the first kind, and generalize some known sharp approximation of complete elliptic integrals of the first kind.

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DOI : https://doi.org/10.5802/crmath.119
Classification : 33E05,  33C75
@article{CRMATH_2020__358_8_961_0,
author = {Fei Wang and Feng Qi},
title = {Monotonicity and sharp inequalities related to complete $(p,q)$-elliptic integrals of the first kind},
journal = {Comptes Rendus. Math\'ematique},
pages = {961--970},
publisher = {Acad\'emie des sciences, Paris},
volume = {358},
number = {8},
year = {2020},
doi = {10.5802/crmath.119},
language = {en},
}
Fei Wang; Feng Qi. Monotonicity and sharp inequalities related to complete $(p,q)$-elliptic integrals of the first kind. Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, pp. 961-970. doi : 10.5802/crmath.119. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.119/

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