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The Stokes phenomenon, Borel summation and Mellin-Barnes regularisation /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
[Saif Zone, Sharjah, U.A.E.] :
Bentham eBooks,
[2009]
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (xi, 249 pages) |
| Bibliografía: | Includes bibliographical references (pages 239-243) and indexes. |
| ISBN: | 9781608050109 1608050106 |