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The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation (in English)
Victor Kowalenko
(Author)
·
Bentham Science Publishers
· Paperback
The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation (in English) - Kowalenko, Victor
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Synopsis "The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation (in English)"
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.
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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
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