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Related generalized Legendre's associated functions

โœ Scribed by L. Kuipers; B. Meulenbeld


Book ID
112647444
Publisher
Springer
Year
1958
Tongue
English
Weight
41 KB
Volume
9
Category
Article
ISSN
0003-889X

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On Hypergeometric Functions and Generali
โœ E.A Karatsuba; M Vuorinen ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

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.