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Special Values of the Hypergeometric Series By Akihito Ebisu

Special Values of the Hypergeometric Series by Akihito Ebisu

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Special Values of the Hypergeometric Series Summary

Special Values of the Hypergeometric Series by Akihito Ebisu

In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hypergeometric series and the Appell-Lauricella hypergeometric series. Furthermore, using this method, the author gets identities for the hypergeometric series $F(a,b;c;x)$ and shows that values of $F(a,b;c;x)$ at some points $x$ can be expressed in terms of gamma functions, together with certain elementary functions. The author tabulates the values of $F(a,b;c;x)$ that can be obtained with this method and finds that this set includes almost all previously known values and many previously unknown values.

About Akihito Ebisu

Akihito Ebisu, Hokkaido University, Sapporo, Japan.

Table of Contents

  • Introduction
  • Preliminaries
  • Derivation of special values
  • Tables of special values
  • Appendix A. Some hypergeometric identities for generalized hypergeometric series and Appell-Lauricella hypergeometric series
  • Acknowledgments
  • Bibliography.

    Additional information

    GOR011123898
    9781470425333
    1470425335
    Special Values of the Hypergeometric Series by Akihito Ebisu
    Used - Very Good
    Paperback
    American Mathematical Society
    2017-06-30
    96
    N/A
    Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
    This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

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