The Stokes phenomenon, Borel summation and Mellin-Barnes regularisation / Victor Kowalenko.
Material type:
TextPublisher: [Saif Zone, Sharjah, U.A.E.] : Bentham eBooks, [2009]Description: 1 online resource (xi, 249 pages)Content type: - text
- computer
- online resource
- 9781608050109
- 1608050106
- 515/.354 23
- QA308 .K69 2009
| Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|---|
eBook
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e-Library | EBSCO Mathematics | 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.
Description based on online resource; title from digital title page (viewed on July 29, 2020).
Master record variable field(s) change: 050, 082