{
"item_title" : "Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders",
"item_author" : [" Vic Kowalenko", "N. E. Frankel", "L. Glasser "],
"item_description" : "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.",
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Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders
Overview
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.
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Details
- ISBN-13: 9780521497985
- ISBN-10: 0521497981
- Publisher: Cambridge University Press
- Publish Date: September 1995
- Dimensions: 8.98 x 6 x 0.35 inches
- Shipping Weight: 0.46 pounds
- Page Count: 142
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