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Applications and $q$-Extensions of Hypergeometric Functions by Howard S. Cohl at Abbey's Bookshop,
Applications and $q$-Extensions of Hypergeometric Functions
— —
Howard S. Cohl Roberto S. Costas-Santos

Applications and $q$-Extensions of Hypergeometric Functions

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

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English
American Mathematical Society
31 July 2025
Calculus & mathematical analysis
Series: Contemporary Mathematics
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 recent research on applications of classical hypergeometric and related special functions to problems in mathematical physics and elsewhere, and on $q$-extensions of hypergeometric functions and other topics in $q$-calculus. The problems in mathematical physics include the explicit integration of the stationary SchrO¨dinger equation with many potentials and the computation of the gravitational potential of an ellipsoidal mass in terms of elliptic integrals. The $q$-calculus topics include a study of Ramanujan's q- continued fractions and the derivation of new $q$-identities. All research articles come with extensive bibliographies and can serve as entry points to the current literature.
Edited by:   , ,
Imprint:   American Mathematical Society
Country of Publication:   United States [Currently unable to ship to USA: see Shipping Info]
Dimensions:   Height: 254mm,  Width: 178mm, 
ISBN:   9781470476540
ISBN 10:   1470476541
Series:   Contemporary Mathematics
Pages:   314
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

Howard S. Cohl, National Institute of Standards and Technology, Gaithersburg, MD, Roberto S. Costas-Santos, Universidad Loyola Andalucia, Sevilla, Spain, and Robert S. Maier, University of Arizona, Tucson, AZ

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