Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions
40th ACM International Symposium on Symbolic and Algebraic Computation, ISSAC 2015, Bath, İngiltere, 6 - 09 Temmuz 2015, cilt.2015-June, ss.235-242, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 2015-June
- Doi Numarası: 10.1145/2755996.2756651
- Basıldığı Şehir: Bath
- Basıldığı Ülke: İngiltere
- Sayfa Sayıları: ss.235-242
- Anahtar Kelimeler: Symbolic Computation, Differential Equations, Closed Form Solutions, Hypergeometric Solutions
- Kırklareli Üniversitesi Adresli: Hayır
Özet
Let L be a second order differential equation with coefficients in C(x). The goal of this paper is to find solutions of L in the form exp(∫ r dx) · 2F1(a1; a2; b1; f) (1) where r; f ∈ ℚ(x), and a1; a2; b1 ∈ ℚ. Categories and Subject Descriptors.