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Lie Theory and Generalizations of the Hypergeometric Functions

โœ Scribed by Miller, Jr., Willard

Book ID
118196411
Publisher
Society for Industrial and Applied Mathematics
Year
1973
Tongue
English
Weight
741 KB
Volume
25
Category
Article
ISSN
0036-1399

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๐Ÿ“œ SIMILAR VOLUMES

On Hypergeometric Functions and Generali
On Hypergeometric Functions and Generalizations of Legendre's Relation
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.