Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders

Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders

Vic Kowalenko , N.E. Frankel , Michael L. Glasser
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Jul 11, 2013 · Inglês · Kindle (141 páginas)
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Detalhes do Livro

Formato Kindle
Páginas 141
Idioma Inglês
Publicado Jul 11, 2013
Editora Cambridge University Press
ISBN-10 1107108624
ISBN-13 9781107108622

Descrição

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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