The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation PDF Download

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The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation

The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation PDF Author: Victor Kowalenko
Publisher: Bentham Science Publishers
ISBN: 1608050106
Category : Mathematics
Languages : en
Pages : 262

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Book 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 disc