Clausen's hypergeometric function with variable -1/8 or -8

Per W. Karlsson

Clausen's hypergeometric function with variable -1/8 or -8

Per W. Karlsson

Research output: Book/Report › Report › Research › peer-review

Abstract

Formulas for 3F2[-1/8] and 3F2[-8] are listed. They are obtained (i) from the cubic transformations by the aid of hypergeometric summation and limit theorems and (ii) from known evaluations of 2F1[1/9] and 2F1[8/9]. There is one free parameter in case (i) and two in case (ii).

Original language	English

Number of pages	9
Publication status	Published - 1999

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abstract = "Formulas for 3F2[-1/8] and 3F2[-8] are listed. They are obtained (i) from the cubic transformations by the aid of hypergeometric summation and limit theorems and (ii) from known evaluations of 2F1[1/9] and 2F1[8/9]. There is one free parameter in case (i) and two in case (ii).",

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