An algorithmic approach to exact power series solutions of second order linear homogeneous differential equations with polynomial coefficients
Yazarlar (2)
Prof. Dr. İsmail Onur KIYMAZ
Gazi Üniversitesi, Türkiye
Başkent Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | APPLIED MATHEMATICS AND COMPUTATION | ||
| Dergi ISSN | 0096-3003 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 07-2003 |
| Cilt / Sayı / Sayfa | 139 / 1 / 165–178 | DOI | 10.1016/S0096-3003(02)00208-4 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0096300302002084 | ||
| Özet |
| 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 = x(0), if its recurrence equation is hypergeometric type. The algorithm, which has been implemented in MAPLE, is based on symbolic computation. (C) 2002 Elsevier Science Inc. All rights reserved. |
| Anahtar Kelimeler |
| power series solutions | generalized hypergeometric series | symbolic computation |