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

    A. Gritsans Info
    F. Sadyrbaev Info
DOI: https://doi.org/10.3846/13926292.2005.9637285

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 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

Share

Published in Issue
September 30, 2005
Abstract Views
515

View article in other formats

CrossMark check

CrossMark logo

Published

2005-09-30

Issue

Section

Articles

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

Share