Generalised Euler-Jacobi inversion formula and asymptotics beyond all orders / V. Kowalenko [and others].
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...
| Uniform Title: | London Mathematical Society lecture note series ;
214. |
|---|---|
| Main Author: | |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
1995.
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| Series: | London Mathematical Society lecture note series ;
214. |
| Subjects: | |
| Online Access: | |
| Physical Description: | 1 online resource (x, 129 pages) : digital, PDF file(s). |
| Variant Title: |
Generalised Euler-Jacobi Inversion Formula & Asymptotics beyond All Orders. |
| Format: | Electronic eBook |
Contents:
- Introduction
- 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.