Miscellaneous properties of some multivariable polynomials

被引：9

作者：

Erkus-Duman, Esra ^{[2
]}

Altin, Abdullah ^{[1
]}

Aktas, Rabia ^{[1
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

[2] Gazi Univ, Fac Sci & Arts, Dept Math, TR-06500 Ankara, Turkey

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 9-10期

关键词：

Chan-Chyan-Srivastava multivariable polynomials; Lagrange-Hermite multivariable polynomials; Erkus-Srivastava multivariable polynomials; Extended Jacobi polynomials; Integral representation; Recurrence relation; LAGRANGE POLYNOMIALS; EXTENSION; FAMILIES; JACOBI;

D O I：

10.1016/j.mcm.2011.04.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

页码：1875 / 1885

页数：11

共 50 条

[31] On new generalized discrete U-Bernoulli-Korobov-kind polynomials and some of their properties [J].

Urieles, Alejandro ;

Escalante, Jorge Luis ;

Ortega, Maria Jose .

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2025, 36 (01) :52-69

[32] On a new class of 2-orthogonal polynomials, I: the recurrence relations and some properties [J].

Douak, Khalfa ;

Maroni, Pascal .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2021, 32 (02) :134-153

[33] Some classes of special functions using Fourier transforms of some two-Variable orthogonal polynomials [J].

Guldogan, Esra ;

Aktas, Rabia ;

Area, Ivan .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2020, 31 (06) :437-470

[34] On Some Families of New Constructed Polynomials [J].

Hakan Ciftci ;

Esra Erkuş-Duman .

Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 :1111-1125

[35] Some Relations on Laguerre Matrix Polynomials [J].

Shehata, Ayman .

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2015, 9 (03) :443-462

[36] On Some Families of New Constructed Polynomials [J].

Ciftci, Hakan ;

Erkus-Duman, Esra .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (02) :1111-1125

[37] Some Results on the Bivariate Laguerre Polynomials [J].

Otzarslan, Mehmet Ali ;

Kurt, Cemaliye .

COMPUTATIONAL ANALYSIS, AMAT 2015, 2016, 155 :125-135

[38] Multi-variable Hermite matrix polynomials: Properties and applications [J].

Khan, Subuhi ;

Al-Gonah, Ahmed Ali .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (01) :222-235

[39] On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials [J].

Zagorodnyuk, S. M. .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021, 27 (02) :261-283

[40] On the zeros of some d-orthogonal polynomials [J].

Ben Romdhane, Neila ;

Abdelkader, Emna .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2022, 33 (10) :810-826

← 1 2 3 4 5 →