A note on parameter derivatives of the Jacobi polynomials on the triangle

AKTAŞ R.

APPLIED MATHEMATICS AND COMPUTATION, vol.247, pp.368-372, 2014 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 247
  • Publication Date: 2014
  • Doi Number: 10.1016/j.amc.2014.08.102
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.368-372
  • Keywords: Orthogonal polynomials, Jacobi polynomials, Parameter derivatives, ORTHOGONAL POLYNOMIALS
  • Ankara University Affiliated: Yes

Abstract

The aim of the present paper is to obtain derivatives of the Jacobi polynomials with two variables on the triangle with respect to their parameters by using the parameter derivatives of the classical Jacobi polynomials P-n((alpha,beta))(x). Furthermore, we give orthogonality properties of the parametric derivatives on the triangle. (C) 2014 Elsevier Inc. All rights reserved.