Generalised Euler-Jacobi Inversion Formu

Generalised Euler-Jacobi Inversion Formu
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Format E-Bok
Kopisperre Teknisk DRM
Filformat PDF
Utgivelsesår 1995
Forlag Cambridge University Press
Språk Engelsk
ISBN 9781107108622
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Om Generalised Euler-Jacobi Inversion Formu

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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