An algorithmic approach to exact power series solutions of second order linear homogeneous differential equations with polynomial coefficients
نویسندگان
چکیده
In 1992, Koepf [J. Symb. Comp. 13 (1992) 581] introduced an algorithm for computing a Formal Power Series of a given function using generalized hypergeometric series and a recurrence equation of hypergeometric type. The main aim of this paper is to develop a new algorithm for computing exact power series solutions of second order linear differential equations with polynomial coefficients, near a point x 1⁄4 x0, if its recurrence equation is hypergeometric type. The algorithm, which has been implemented in MAPLE, is based on symbolic computation. 2002 Elsevier Science Inc. All rights reserved.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 139 شماره
صفحات -
تاریخ انتشار 2003