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An algorithmic approach to exact power series solutions of second order linear homogeneous differential equations with polynomial coefficients    
Yazarlar
Prof. Dr. İsmail Onur KIYMAZ
Gazi Üniversitesi, Türkiye
Şeref Mirasyedioğlu
Başkent Üniversitesi, Türkiye
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
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 07-2003
Cilt No 139
Sayı 1
Sayfalar 165 / 178
Doi Numarası 10.1016/S0096-3003(02)00208-4
Makale Linki http://linkinghub.elsevier.com/retrieve/pii/S0096300302002084