The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation (Paperback) (ISBN-13: 9781608050970)

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.

Author: Victor Kowalenko
ISBN-10: 1608050971
ISBN-13: 9781608050970
Publisher: Bentham Science Publishers
Language: English
Published: 02/22/2018
Pages: 262
Format: Paperback
Weight: 1.87lbs
Size: 11.00h x 8.50w x 0.68d