Classical Hypergeometric Functions and Generalizations

Häftad, Engelska, 2025

AvHoward S. Cohl,Roberto S. Costas-Santos,Robert S. Maier

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This volume contains the proceedings of a minisymposium and two AMS special sessions in three conferences: Minisymposium on All Things Hypergeometric, $q$-series and Generalizations at the 16th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA-16), June 13-17, 2022, Centre de Recherches Mathematiques, Montreal, Quebec, Canada; AMS Special Session on Hypergeometric Functions and $q$-series at the 2022 AMS Fall Western Sectional Meeting, October 22-23, 2022, University of Utah, Salt Lake City, Utah; and the AMS Special Session on Hypergeometric Functions, $q$-series and Generalizations, at the 2023 AMS Spring Eastern Virtual Sectional Meeting, April 1-2, 2023. This book provides a sampling of current mathematical research related to the Gauss hypergeometric function, and as well, its immediate generalizations and extensions. This includes the generalized hypergeometric functions that originated with Kummer, as well as such classical special functions as Lame and Heun functions. It also includes certain functions relevant to algebraic geometry, such as hypergeometric functions over finite fields. All research articles come with extensive bibliographies and can serve as entry points to the current literature.

Produktinformation

Utgivningsdatum2025-04-23
Mått178 x 254 x undefined mm
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor288
FörlagAmerican Mathematical Society
ISBN9781470476533

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Hypergeometric functionsAsena Cetinkaya and Dmitrii Karp, On digamma series convertible into hypergeometric seriesHoward S. Cohl, Roberto S. Costas-Santos, Loyal Durand, Camilo Montoya and Gestur Olafsson, Double summation addition theorems for Jacobi functions of the first and second kindJavier Segura, On bounds for ratios of contiguous hypergeometric functionsHans Volkmer, Expansion of the Ferrers function of the first kind in a trigonometric seriesN. S. Witte, An infinite product of incomplete Beta function-type hypergeometric functions, and its probabilistic originsGeneralizations and ExtensionsHeng Huat Chan and Teoh Guan Chua, The quadratic reciprocity law and the Gauss-Schering lemmaShaun Cooper, Apery-like sequences defined by four-term recurrence relationsYifeng Huang, Ken Ono and Hasan Saad, Counting matrix points on certain varieties over finite fieldsEleanor McSpirit and Ken Ono, Hypergeometry and the AGM over finite fieldsHans Volkmer, The Heun eigenvalue problem and some of its special casesYajun Zhou, Hyper-Mahler measures via Goncharov-Deligne cyclotomy