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

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