The Stokes phenomenon, Borel summation and Mellin-Barnes regularisation / Victor Kowalenko.

By:

Kowalenko, Victor, 1956-

Material type: Text

TextPublisher: [Saif Zone, Sharjah, U.A.E.] : Bentham eBooks, [2009]Description: 1 online resource (xi, 249 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781608050109
1608050106

Subject(s):

Genre/Form:

Electronic books.

DDC classification:

515/.354 23

LOC classification:

QA308 .K69 2009

Online resources:

Click here to access online

Contents:

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

Summary: 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.

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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	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.

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