Generalised Euler-Jacobi Inversion Formula and Asymptotics beyond All Orders - Couverture souple

Kowalenko, Vic

Couverture souple

ISBN 10 : 0521497981 ISBN 13 : 9780521497985

Editeur : Cambridge University Press, 2013

Synopsis

This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.

A propos du livre

Présentation de l'éditeur

This work, first published in 1995, presents developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. By considering special exponential series arising in number theory, the authors derive the generalised Euler-Jacobi series, expressed in terms of hypergeometric series. Dingle's theory of terminants is then employed to show how the divergences in both dominant and subdominant series of a complete asymptotic expansion can be tamed. Numerical results are used to illustrate that a complete asymptotic expansion can be made to agree with exact results for the generalised Euler-Jacobi series to any desired degree of accuracy. All researchers interested in the fascinating area of exponential asymptotics will find this a most valuable book.

Revue de presse

'The book is of considerable value for the number theorist and for the analyst as well.' Monatshefte für Mathematik

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 0521497981
• ISBN 13: 9780521497985
• Reliure: Broché
• Nombre de pages: 142
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France