Parameter Derivatives of the Jacobi Polynomials with Three Variables on the Simplex
3th International Conference on Industrial Engineering and Applications (ICIEA), Hong Kong, PEOPLES R CHINA, 28 - 30 Nisan 2016, cilt.68, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 68
- Doi Numarası: 10.1051/matecconf/20166816003
- Basıldığı Şehir: Hong Kong
- Basıldığı Ülke: PEOPLES R CHINA
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper, an attempt has been made to derive parameter derivatives of Jacobi polynomials with three variables on the simplex. They are obtained via parameter derivatives of the classical Jacobi polynomials P-n((alpha,beta)) (chi) with respect to their parameters. The study is motivated by the expansions of parameter derivatives which are obtained for the classical Jacobi polynomials over the interval (-1, 1), Jacobi polynomials with two variables on the triangle and some other families of orthogonal polynomials in two variables.