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GG Functions and their Relations to General Hypergeometric Functions

✍ Scribed by I. M. Gelfand; M. I. Graev


Book ID
110252797
Publisher
Springer
Year
1999
Tongue
English
Weight
216 KB
Volume
50
Category
Article
ISSN
0377-9017

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On Hypergeometric Functions and Generali
✍ E.A Karatsuba; M Vuorinen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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.