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On a Generalization of Watson's Expressions for Legendre's Functions

✍ Scribed by Hobson, E. W.


Book ID
120103062
Publisher
Oxford University Press
Year
1930
Tongue
English
Weight
121 KB
Volume
s2-30
Category
Article
ISSN
0024-6115

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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.