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

    A. Gritsans Info
    F. Sadyrbaev Info

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
512

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