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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 |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York, NY, USA :
Cambridge University Press,
1995.
|
| Colección: | London Mathematical Society lecture note series ;
214. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Generalised Euler-Jacobi inversion formula and asymptotics beyond all orders / |c V. Kowalenko [and others]. |
| 260 | |a Cambridge ; |a New York, NY, USA : |b Cambridge University Press, |c 1995. | ||
| 300 | |a 1 online resource (x, 129 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 214 | |
| 504 | |a Includes bibliographical references (pages 115-116) and index. | ||
| 505 | 0 | |a 1. Introduction -- 2. Exact Evaluation of [actual symbol not reproducible] -- 3. Properties of S[subscript p/q](a) -- 4. Steepest Descent -- 5. Special Cases of S[subscript p/q](a) for p/q <2 -- 6. Integer cases for S[subscript p/q](a) where [actual symbol not reproducible] -- 7. Asymptotics beyond all Orders -- 8. Numerics for Terminant Sums -- 9. Conclusion -- 10. References -- 11. Tables -- 12. Index. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Jacobi series. | |
| 650 | 0 | |a Asymptotic expansions. | |
| 650 | 6 | |a Séries de Jacobi. | |
| 650 | 6 | |a Développements asymptotiques. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Asymptotic expansions. |2 fast |0 (OCoLC)fst00819868 | |
| 650 | 7 | |a Jacobi series. |2 fast |0 (OCoLC)fst00981030 | |
| 650 | 7 | |a Thetafunktion |2 gnd | |
| 650 | 7 | |a Euler-Jacobi-Reihe |2 gnd | |
| 650 | 1 | 7 | |a Zeta-functies. |2 gtt |
| 650 | 1 | 7 | |a L-functies. |2 gtt |
| 650 | 7 | |a Jacobi, séries de. |2 ram | |
| 650 | 7 | |a Développements asymptotiques. |2 ram | |
| 700 | 1 | |a Kowalenko, V. | |
| 776 | 0 | 8 | |i Print version: |t Generalised Euler-Jacobi inversion formula and asymptotics beyond all orders. |d Cambridge ; New York, NY, USA : Cambridge University Press, 1995 |z 0521497981 |w (DLC) 95023550 |w (OCoLC)32821811 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 214. | |
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