Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders (Paperback) (ISBN-13: 9780521497985)

By considering special exponential series arising in number theory, the authors derive the generalized Euler-Jacobi series, expressed in terms of hypergeometric series. They then employ Dingle's theory of terminants to show how the divergences in both dominant and subdominant series of a complete asymptotic expansion can be tamed. The authors use numerical results to show that a complete asymptotic expansion can be made to agree with exact results for the generalized Euler-Jacobi series to any desired degree of accuracy.

Author: N. Frankel,Vic Kowalenko
ISBN-10: 0521497981
ISBN-13: 9780521497985
Publisher: Cambridge University Press
Language: English
Published: 09/14/1995
Pages: 142
Format: Paperback
Weight: 0.46lbs
Size: 8.98h x 6.00w x 0.35d