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Hypergeometric series with gamma product formula |
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| Institution: | Department of Mathematics, Hokkaido University, Kita 10, Nishi 8, Kita-ku, Sapporo 060-0810, Japan |
| Abstract: | We consider non-terminating Gauss hypergeometric series with one free parameter. Using various properties of hypergeometric functions we obtain some necessary conditions of arithmetic flavor for such series to admit gamma product formulas. |
| Keywords: | Hypergeometric series Gamma product formula Closed-form expression Asymptotic analysis Contiguous relation |
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