On some generalized special functions of hypergeometric type (Q2711306)

From MaRDI portal





scientific article
Language Label Description Also known as
English
On some generalized special functions of hypergeometric type
scientific article

    Statements

    12 December 2001
    0 references
    hypergeometric functions \(_2F_1\)
    0 references
    integrals formulas
    0 references
    0 references
    0 references
    On some generalized special functions of hypergeometric type (English)
    0 references
    The generalized Legendre functions introduced by \textit{L. Kuipers} and \textit{B. Meulendbeld} [Proc. Konkl. Nederl. Akad. Wet., Proc., Ser. A 60, 436-450 (1957; Zbl 0079.09504)] are closely connected with Gauß's hypergeometric function \(_2F_1\). By means of well known integral representations of the latter integral formulas for the generalized Legendre functions are derived. It seems that the References 19-26 are hardly connected with the topic of the paper.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00011].
    0 references

    Identifiers