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Anglický jazyk
Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders
Autor: N. Frankel
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... Viac o knihe
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O knihe
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.
- Vydavateľstvo: Cambridge University Press
- Rok vydania: 2013
- Formát: Paperback
- Rozmer: 229 x 152 mm
- Jazyk: Anglický jazyk
- ISBN: 9780521497985
