Generalised Euler-Jacobi Inversion Formula and Asymptotics beyond All Orders Paperback / softback
by Vic (University of Melbourne) Kowalenko, N. E. (University of Melbourne) Frankel, L. (Clarkson University, New York) Glasser, T. Taucher
Part of the London Mathematical Society Lecture Note Series series
Paperback / softback
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Description
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.
Information
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Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:142 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:14/09/1995
- Category:
- ISBN:9780521497985
Information
-
Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:142 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:14/09/1995
- Category:
- ISBN:9780521497985
