The Taylor series expansion coefficients for solutions of the Emden‐Fowler type equations
Abstract
We present the explicit non‐recursive formulas for the Taylor series expansion coefficients for the functions Sn (t) defined as solutions of the Emden ‐ Fowler type equations x” = –nx 2n−1 with the initial conditions x(0) = 0, x‘(0) = 1, where n = 1,2,…
Emdeno-Flauerio tipo lygčių sprendinių dėstinių Teiloro eilutėmis koeficientai
Pateikiamos vadinamos Emdeno‐Faulerio lygties x” = –nx 2n−1 pradinio uždavinio x(0) = 0, x‘(0) = 1,(n = 1,2,…) sprendinių Sn (t) Teiloro eilutė koeficientų išreikštinės formulės. Jos yra nerekursyvinė.
First Published Online: 14 Oct 2010
Keywords:
Emden ‐ Fowler equations, Taylor series expansion, lemniscatic sineHow to Cite
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Copyright (c) 2005 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2005 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.