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Generalised Euler-Jacobi inversion formula and asymptotics beyond all orders /
This work, first published in 1995, presents developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. By considering special exponential series arising in number theory, the authors derive the generalised Euler-Jacobi series, expr...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York, NY, USA :
Cambridge University Press,
1995.
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| Colección: | London Mathematical Society lecture note series ;
214. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This work, first published in 1995, presents developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. By considering special exponential series arising in number theory, the authors derive the generalised Euler-Jacobi series, expressed in terms of hypergeometric series. Dingle's theory of terminants is then employed to show how the divergences in both dominant and subdominant series of a complete asymptotic expansion can be tamed. Numerical results are used to illustrate that a complete asymptotic expansion can be made to agree with exact results for the generalised Euler-Jacobi series to any desired degree of accuracy. All researchers interested in the fascinating area of exponential asymptotics will find this a most valuable book. |
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| Descripción Física: | 1 online resource (x, 129 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 115-116) and index. |
| ISBN: | 9781107088856 1107088852 9780511752513 0511752512 9781107100688 1107100682 1139885162 9781139885164 1107095026 9781107095021 1107091748 9781107091740 1107103142 9781107103146 |