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Identities for Hypergeometric Integrals of Different Dimensions

✍ Scribed by V. Tarasov; A. Varchenko


Publisher
Springer
Year
2005
Tongue
English
Weight
135 KB
Volume
71
Category
Article
ISSN
0377-9017

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Precise Estimates for Differences of the
✍ G.D Anderson; S.-L Qiu; M Vuorinen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 258 KB

By showing certain combinations of the Gaussian hypergeometric functions Ε½ c . Ε½ d . Ε½ . F a, b; a q b; 1 y x and F a y ␦, b q ␦; a q b; 1 y x to be monotone on 0, 1 Ε½ . for given a, b, c, d g 0, Ο± , a F b, and cd, the authors study the problem of Γ„ Ε½ . Ε½ c . comparing these two functions. They find