| 000 | 02516nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9780511752513 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160228.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 100421s1995||||enk o ||1 0|eng|d | ||
| 020 | _a9780511752513 (ebook) | ||
| 020 | _z9780521497985 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 4 |
_aQA404.5 _b.K69 1995 |
| 082 | 0 | 0 |
_a515/.234 _220 |
| 100 | 1 |
_aKowalenko, V., _eauthor. |
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| 245 | 1 | 0 |
_aGeneralised Euler-Jacobi inversion formula and asymptotics beyond all orders / _cV. Kowalenko [and others]. |
| 246 | 3 | _aGeneralised Euler-Jacobi Inversion Formula & Asymptotics beyond All Orders | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c1995. |
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| 300 |
_a1 online resource (x, 129 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aLondon Mathematical Society lecture note series ; _v214 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aIntroduction -- Exact evaluation of S[superscript r subscript p/q] (a) -- Properties of S[subscript p/q] (a) -- Steepest descent -- Special cases of S[subscript p/q] (a) for p/q <2 -- Integer cases for S[subscript p/q] (a) where 2 <̲ p/q <̲ 7 -- Asymptotics beyond all orders -- Numerics for terminant sums -- Conclusion. | |
| 520 | _aThis 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. | ||
| 650 | 0 | _aJacobi series. | |
| 650 | 0 | _aAsymptotic expansions. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521497985 |
| 830 | 0 |
_aLondon Mathematical Society lecture note series ; _v214. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511752513 |
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_c517392 _d517390 |
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