{"product_id":"generalised-euler-jacobi-inversion-formula-and-asymptotics-beyond-all-orders-9780521497985","title":"Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders","description":"\u003cp\u003e • Author(s): N. Frankel | Vic Kowalenko | L. Glasser\u003cbr\u003e • Publisher: Cambridge University Press\u003cbr\u003e • Publisher Imprint: Cambridge University Press\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003eBy 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Paperback","offer_id":46432891273367,"sku":"9780521497985","price":4039.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780521497985.webp?v=1769306754","url":"https:\/\/atlanticbooks.com\/products\/generalised-euler-jacobi-inversion-formula-and-asymptotics-beyond-all-orders-9780521497985","provider":"Atlantic Books","version":"1.0","type":"link"}