Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders
Book Details
Format
Paperback / Softback
Book Series
London Mathematical Society Lecture Note Series
ISBN-10
0521497981
ISBN-13
9780521497985
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 14th, 1995
Print length
142 Pages
Weight
212 grams
Dimensions
22.90 x 15.20 x 0.80 cms
Ksh 9,550.00
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This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. All researchers interested in the fascinating area of exponential asymptotics will find this a most valuable book.
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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