A symbolic algorithm for exact power series solutions of nth order linear homogeneous differential equations with polynomial coefficients near an ordinary point

Abstract

We developed an algorithm in Kiymaz and Mirasyedioglu [O. Kiymaz and 5. Mirasyedioglu, An algorithmic approach to exact power series solutions of second order linear homogeneous differential equations with polynomial coefficients, Appl. Math. Comp. 139 (1) (2003) 165-178] for computing exact power series solutions of second order linear homogeneous differential equations with polynomial coefficients, near a point x = x(0). In this paper we present a symbolic algorithm to compute the exact power series solutions of nth order linear homogeneous differential equations with polynomial coefficients, near an ordinary point. (c) 2006 Elsevier Inc. All rights reserved.