On Hypergeometric Functions and Generali
β
E.A Karatsuba; M Vuorinen
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Article
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2001
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Elsevier Science
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English
β 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.