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Theta hypergeometric series

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 نشر من قبل Vyacheslav P. Spiridonov
 تاريخ النشر 2003
  مجال البحث
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 تأليف V.P. Spiridonov




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We formulate general principles of building hypergeometric type series from the Jacobi theta functions that generalize the plain and basic hypergeometric series. Single and multivariable elliptic hypergeometric series are considered in detail. A characterization theorem for a single variable totally elliptic hypergeometric series is proved.



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