The Stokes phenomenon, Borel summation and Mellin-Barnes regularisation / Victor Kowalenko.
Material type:![Text](/opac-tmpl/lib/famfamfam/BK.png)
- text
- computer
- online resource
- 9781608050109
- 1608050106
- 515/.354 23
- QA308 .K69 2009
Item type | Home library | Collection | Call number | Materials specified | Status | Date due | Barcode | |
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OPJGU Sonepat- Campus | E-Books EBSCO | Available |
Includes bibliographical references (pages 239-243) and indexes.
The Stokes phenomenon refers to the emergence of jump discontinuities in asymptotic expansions at specific rays in the complex plane. This book presents a radical theory for the phenomenon by introducing the concept of regularization. Two methods of regularization, Borel summation and Mellin-Barnes regularization, are used to derive general expressions for the regularized values of asymptotic expansions throughout the complex plane. Though different, both yield identical values, which, where possible, agree with the original functions. Consequently, asymptotics has been elevated to a true disc.
Online resource; title from digital title page (viewed on July 29, 2020).
The Stokes Phenomenon, Borel Summation; 9781608050109.jpg.pdf; Cover Page; Contents; Chapter-1; Chapter-2; Chapter-3; Chapter-4; Chapter-5; Chapter-6; Chapter-7; Chapter-8; Chapter-9; Chapter-10; Chapter-11; Chapter-12; Appendix; References; Author Index; Subject Index
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