The Stokes Phenomenon Borel Summation and Mellin Barnes Regularisation

This book PDF is perfect for those who love Mathematics genre, written by Victor Kowalenko and published by Bentham Science Publishers which was released on 08 May 2024 with total hardcover pages 262. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related The Stokes Phenomenon Borel Summation and Mellin Barnes Regularisation books below.

The Stokes Phenomenon Borel Summation and Mellin Barnes Regularisation

Author	: Victor Kowalenko
File Size	: 52,9 Mb
Publisher	: Bentham Science Publishers
Language	: English
Release Date	: 08 May 2024
ISBN	: 9781608050109
Pages	: 262 pages

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The Stokes Phenomenon Borel Summation and Mellin Barnes Regularisation by Victor Kowalenko Book PDF 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

The Stokes Phenomenon Borel Summation and Mellin Barnes Regularisation by Victor Kowalenko

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