Applications and $q$-Extensions of Hypergeometric Functions (Contemporary Mathematics) - Softcover

Softcover

ISBN 10: 1470476541 ISBN 13: 9781470476540

Publisher: American Mathematical Society, 2025

Synopsis

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.

About this title

About the Authors

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

Edition details

• Publisher: American Mathematical Society
• Publication date: 2025
• Language: English
• ISBN 10: 1470476541
• ISBN 13: 9781470476540
• Binding: Paperback
• Number of pages: 314
• Editor: Cohl Howard S., Costas-Santos Roberto S., Maier Robert S.