Multiple hypergeometric series -- Appell series and beyond
Michael J. Schlosser
TL;DR
This survey provides an overview of multiple hypergeometric series, focusing on Appell-type series and related generalizations, highlighting their mathematical properties and significance in special functions.
Contribution
It compiles and discusses foundational material on multiple hypergeometric series of Appell-type and their generalizations, serving as a reference in the field.
Findings
Summarizes key properties of Appell series.
Highlights connections to other special functions.
Provides foundational material for further research.
Abstract
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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