The sum of a multiple hypergeometric series
نویسندگان
چکیده
منابع مشابه
Multiple Hypergeometric Series – Appell Series and Beyond
This survey article (which will appear as a chapter in the book “Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions”, Springer-Verlag) provides a small collection of basic material on multiple hypergeometric series of Appell-type and of more general series of related type.
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We define two classes of multiple basic hypergeometric series Vk,t(a, q) and Wk,t(a, q) which generalize multiple series studied by Agarwal, Andrews, and Bressoud. We show how to interpret these series as generating functions for special restricted lattice paths and for n-color overpartitions with weighted difference conditions. We also point out that some specializations of our series can be w...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1977
ISSN: 1385-7258
DOI: 10.1016/1385-7258(77)90058-0