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On Hypergeometric Functions and Generalizations of Legendre's Relation

✍ Scribed by E.A Karatsuba; M Vuorinen

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
118 KB
Volume
260
Category
Article
ISSN
0022-247X

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✦ Synopsis

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.

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