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A symbolic algorithm for exact power series solutions of nth order linear homogeneous differential equations with polynomial coefficients near an ordinary point    
Yazarlar
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Applied Mathematics and Computation
Dergi ISSN 0096-3003
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 12-2006
Cilt No 183
Sayı 2
Sayfalar 1052 / 1056
Doi Numarası 10.1016/j.amc.2006.05.123
Makale Linki http://linkinghub.elsevier.com/retrieve/pii/S0096300306006400