GEGENBAUER POLYNOMIALS OF TWO VARIABLES AND THEIR PROPERTIES

被引：0

作者：

Nadeem, Raghib ^{[1
]}

Khan, Abdul Hakim ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

Abouzaid, Moheb Saad ^{[2
,3
]}

Abusufian, Abdallah Hassan ^{[2
]}

机构：

[1] Aligarh Muslim Univ, Zakir Hussain Coll Engn & Technol, Dept Appl Math, Aligarh, Uttar Pradesh, India

[2] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci Wadi Aldawaser, Dept Math, Alkharj 11991, Saudi Arabia

[3] Kafrelshiekh Univ, Fac Sci, Dept Math, Kafr Al Sheikh, Egypt

来源：

ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES | 2020年 / 19卷 / 04期

关键词：

Gegenbauer polynomials of two variables; generating functions; Rodrigues formula;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The principal aim of this paper is to introduce Gegenbauer polynomials of two variables and investigate their properties. The explicit representation, generating functions, hypergeometric representations, Rodrigues formula and orthogonality of these polynomials are obtained. Further, the recurrence relations and relationship of these polynomials with some other polynomials are also derived. The surface plot of these polynomials is represented with the help of Matlab.

引用

页码：269 / 290

页数：22

共 50 条

[31] Generating Functions For Two-Variable Polynomials Related To a Family of Fibonacci Type Polynomials and Numbers
Ozdemir, Gulsah
Simsek, Yilmaz
FILOMAT, 2016, 30 (04) : 969 - 975
[32] Generalized Fubini transform with two variables
Sebaoui, Madjid
Laissaoui, Diffalah
Guettai, Ghania
Rahmani, Mourad
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2023, 52 (04): : 931 - 944
[33] Multidimensional Analog of the Bernoulli Polynomials and its Properties
Shishkina, Olga A.
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2016, 9 (03): : 384 - 392
[34] Some properties of the Sobolev-Laguerre polynomials
Wimp, J
Kiesel, H
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 99 (1-2) : 401 - 412
[35] Two q-Operational Equations and Hahn Polynomials
Gu, Jing
Yang, Dunkun
Bao, Qi
COMPLEX ANALYSIS AND OPERATOR THEORY, 2024, 18 (03)
[36] Construction of general forms of ordinary generating functions for more families of numbers and multiple variables polynomials
Simsek, Yilmaz
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (03)
[37] IMPLEMENTATION OF COMPUTATION FORMULAS FOR CERTAIN CLASSES OF APOSTOL-TYPE POLYNOMIALS AND SOME PROPERTIES ASSOCIATED WITH THESE POLYNOMIALS
Kucukoglu, Irem
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2021, 70 (01): : 426 - 442
[38] Construction of general forms of ordinary generating functions for more families of numbers and multiple variables polynomials
Yilmaz Simsek
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
[39] Properties of Multivariate b-Ary Stern Polynomials
Dilcher, Karl
Ericksen, Larry
ANNALS OF COMBINATORICS, 2019, 23 (3-4) : 695 - 711
[40] Some properties of the generalized Apostol-type polynomials
Lu, Da-Qian
Luo, Qiu-Ming
BOUNDARY VALUE PROBLEMS, 2013,

← 1 2 3 4 5 →