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The Taylor series expansion coefficients for solutions of the Emden‐Fowler type equations

    A. Gritsans Affiliation
    ; F. Sadyrbaev Affiliation

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

Keyword : Emden ‐ Fowler equations, Taylor series expansion, lemniscatic sine

How to Cite
Gritsans, A., & Sadyrbaev, F. (2005). The Taylor series expansion coefficients for solutions of the Emden‐Fowler type equations. Mathematical Modelling and Analysis, 10(3), 247-256. https://doi.org/10.3846/13926292.2005.9637285
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Sep 30, 2005
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