Special Values of the Hypergeometric Series

Released on by Akihito Ebisu
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  • Special Values of the Hypergeometric Series Book Detail

  • Author : Akihito Ebisu
  • Release Date : 2017-07-13
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 108
  • ISBN 13 : 1470425335
  • File Size : 52,52 MB
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Special Values of the Hypergeometric Series by Akihito Ebisu PDF Summary

Book Description: 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 and shows that values of at some points can be expressed in terms of gamma functions, together with certain elementary functions. The author tabulates the values of that can be obtained with this method and finds that this set includes almost all previously known values and many previously unknown values.

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Special Values of the Hypergeometric Series

Special Values of the Hypergeometric Series

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In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hyp

Crossed Products by Hecke Pairs

Crossed Products by Hecke Pairs

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The author develops a theory of crossed products by actions of Hecke pairs , motivated by applications in non-abelian -duality. His approach gives back the usua