Download e-book for iPad: Generalised Euler-Jacobi Inversion Formula and Asymptotics by Vic Kowalenko,N. E. Frankel,L. Glasser,T. Taucher

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By Vic Kowalenko,N. E. Frankel,L. Glasser,T. Taucher

This paintings, first released in 1995, offers advancements in figuring out the subdominant exponential phrases of asymptotic expansions that have formerly been overlooked. through contemplating distinctive exponential sequence bobbing up in quantity idea, the authors derive the generalised Euler-Jacobi sequence, expressed by way of hypergeometric sequence. Dingle's conception of terminants is then hired to teach how the divergences in either dominant and subdominant sequence of an entire asymptotic enlargement could be tamed. Numerical effects are used to demonstrate whole asymptotic growth might be made to consider particular effects for the generalised Euler-Jacobi sequence to any wanted measure of accuracy. All researchers attracted to the attention-grabbing region of exponential asymptotics will locate this a most precious book.

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Generalised Euler-Jacobi Inversion Formula and Asymptotics beyond All Orders (London Mathematical Society Lecture Note Series) by Vic Kowalenko,N. E. Frankel,L. Glasser,T. Taucher


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