Journal
COMPUTATIONAL METHODS AND FUNCTION THEORY
Volume 21, Issue 3, Pages 413-426Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40315-020-00352-7
Keywords
Gaussian hypergeometric function; Zero-balanced; Weighted Hö lder mean; Complete elliptic integrals
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Funding
- National Natural Science Foundation of China [11971142, 11871202, 61673169, 11701176]
- Natural Science Foundation of Zhejiang Province [LY19A010012]
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The article presents the best bounds for the weighted Holder mean of zero-balanced generalized complete elliptic integrals, extending previous results for complete p-elliptic integrals.
In the article, we present the best possible bounds for the weighted Holder mean of the zero-balanced generalized complete elliptic integrals of the first and second kinds, which are the generalizations of previous results for complete p-elliptic integrals.
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