Miscellaneous properties of some multivariable polynomials
MATHEMATICAL AND COMPUTER MODELLING, vol.54, pp.1875-1885, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 54
- Publication Date: 2011
- Doi Number: 10.1016/j.mcm.2011.04.010
- Journal Name: MATHEMATICAL AND COMPUTER MODELLING
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1875-1885
- Gazi University Affiliated: Yes
Abstract
In this paper, we present various integral representations for the Chan-Chyan-Srivastava, Lagrange-Hermite, Erkus-Srivastava multivariable polynomials and extended Jacobi polynomials. Then, we obtain some partial differential equations for the product of any two of them. We show that the Chan-Chyan-Srivastava multivariable polynomials are not orthogonal. We also discuss other miscellaneous properties of the Chan-Chyan-Srivastava, Lagrange-Hermite and Erkus-Srivastava multivariable polynomials. (C) 2011 Elsevier Ltd. All rights reserved.