Elliptic Hypergeometric Functions Associated with Root Systems

Autor:	S. Ole Warnaar, Hjalmar Rosengren
Rok vydání:	2020
Předmět:	Pure mathematics Basic hypergeometric series Confluent hypergeometric function Hypergeometric function of a matrix argument Appell series Mathematics::Classical Analysis and ODEs Elliptic rational functions Bring radical Generalized hypergeometric function Jacobi elliptic functions Mathematics
DOI:	10.1017/9780511777165.007
Popis:	We give a survey of elliptic hypergeometric functions associated with root systems, comprised of three main parts. The first two form in essence an annotated table of the main evaluation and transformation formulas for elliptic hypergeometric integeral and series on root systems. The third and final part gives an introduction to Rains' elliptic Macdonald-Koornwinder theory (in part also developed by Coskun and Gustafson).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e8aec71c8e59bc2cf2be8666553ad105 https://doi.org/10.1017/9780511777165.007 Zobrazit plný text záznamu