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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders

Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders

Kowalenko, Vic
Frankel, N. E.
Glasser, L.

Paperback

Series: London Mathematical Society Lecture Note, Book 214

General Mathematics

ISBN10: 0521497981
ISBN13: 9780521497985
Publisher: Cambridge University Press
Published: Sep 14 1995
Pages: 142
Weight: 0.46
Height: 0.35 Width: 6.00 Depth: 8.98
Language: English
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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