Synopses & Reviews
Provides an account of the use and properties of a type of complex integral representation that arises in the study of special functions.
Synopsis
Asymptotics and Mellin-Barnes Integrals provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics.
Description
Includes bibliographical references (p. [409]-418) and index.
Table of Contents
1. Introduction; 2. Fundamental results; 3. Properties of Mellin transforms; 4. Applications of Mellin transforms; 5. Asymptotic expansions; 6. The Stokes phenomenon and hyperasymptotics; 7. Multiple Mellin-Barnes integrals; 8. Application to some special functions.