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

Per W. Karlsson

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    Formulas for 3F2[-1/8] and 3F2[-8] are listed. They are derived (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 languageEnglish
    JournalMath. Sci. Res. Hot-Line
    Issue number7
    Pages (from-to)25-33
    Publication statusPublished - 2000

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