Elliptic hypergeometric functions
V.P. Spiridonov
TL;DR
This paper provides a comprehensive overview of the development and current status of elliptic hypergeometric functions up to 2012, serving as a supplementary chapter to a well-known reference in special functions.
Contribution
It summarizes the progress and key results in the theory of elliptic hypergeometric functions up to 2012, filling a gap in the literature.
Findings
Summarizes the state of elliptic hypergeometric functions as of 2012
Highlights recent advances in the theory
Provides a reference point for future research
Abstract
This is a brief overview of the status of the theory of elliptic hypergeometric functions to the end of 2012 written as a complementary chapter to the Russian edition of the book by G.E. Andrews, R. Askey, and R. Roy, Special Functions, Encycl. of Math. Appl. 71, Cambridge Univ. Press, 1999.
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Taxonomy
TopicsMathematical functions and polynomials · Polynomial and algebraic computation · Advanced Mathematical Identities