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{ "item_title" : "Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders", "item_author" : [" Vic Kowalenko", "N. E. Frankel", "L. Glasser "], "item_description" : "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.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/0/52/149/798/0521497981_b.jpg", "price_data" : { "retail_price" : "53.00", "online_price" : "53.00", "our_price" : "53.00", "club_price" : "53.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders|Vic Kowalenko

Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders

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Overview

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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Details

  • ISBN-13: 9780521497985
  • ISBN-10: 0521497981
  • Publisher: Cambridge University Press
  • Publish Date: September 1995
  • Dimensions: 8.98 x 6 x 0.35 inches
  • Shipping Weight: 0.46 pounds
  • Page Count: 142

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