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Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders - Paperback
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Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders - Paperback
$83.50
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Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders - Paperback
$83.50
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by N. Frankel (Author), Vic Kowalenko (Author), L. Glasser (With)
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.
Number of Pages: 142
Dimensions: 0.35 x 8.98 x 6 IN
Publication Date: September 14, 1995
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