A1 Refereed original research article in a scientific journal
On hypergeometric functions and generalizations of Legendre's relation
Authors: Karatsuba E., Vuorinen M.
Publication year: 2001
Journal:: Journal of Mathematical Analysis and Applications
Journal name in source: Journal of Mathematical Analysis and Applications
Volume: 260
Issue: 2
First page : 623
Last page: 640
Number of pages: 18
ISSN: 0022-247X
DOI: https://doi.org/10.1006/jmaa.2001.7499
Web address : http://api.elsevier.com/content/abstract/scopus_id:0035882848
Abstract
We prove some convexity properties for a sum of hypergeometric functions and obtain a generalization of Legendre's relation for complete elliptic integrals. We apply these results to prove some inequalities for hypergeometric functions, incomplete beta-functions, and Legendre functions. © 2001 Academic Press.
We prove some convexity properties for a sum of hypergeometric functions and obtain a generalization of Legendre's relation for complete elliptic integrals. We apply these results to prove some inequalities for hypergeometric functions, incomplete beta-functions, and Legendre functions. © 2001 Academic Press.
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