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The Stokes Phenomenon Borel Summation and Mellin-Barnes Regularisation Cover

The Stokes Phenomenon Borel Summation and Mellin-Barnes Regularisation

Publisher:Bentham Science
By: Victor Kowalenko  
Paid access
|Jan 2009
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Description
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 discipline yielding precise solutions. All researchers who seek asymptotic solutions to problems will find this a most valuable book.
PDF ISBN: 978-1-60805-010-9
Publisher: Bentham Science
Copyright owner: © 2009 Bentham Science Publishers
Publication date: 2009
Language: English
Pages: 260
Related subjects:
Mathematics,
General mathematics

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