A symbolic algorithm for exact power series solutions of nth order linear homogeneous differential equations with polynomial coefficients near an ordinary point
Yazarlar (1)
Prof. Dr. İsmail Onur KIYMAZ Kırşehir Ahi Evran 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 | 12-2006 |
| Cilt / Sayı / Sayfa | 183 / 2 / 1052–1056 | DOI | 10.1016/j.amc.2006.05.123 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0096300306006400 | ||
| Özet |
| 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. |
| Anahtar Kelimeler |
| power series solutions | generalized hypergeometric series | symbolic computation |