Properties of Some of Two-Variable Orthogonal Polynomials

被引：5

作者：

Milovanovic, Gradimir, V ^{[1
,2
]}

Ozturk, Guner ^{[3
]}

Aktas, Rabia ^{[4
]}

机构：

[1] Serbian Acad Arts & Sci, Kneza Mihaila 35, Belgrade 11000, Serbia

[2] Univ Nis, Fac Sci & Math, Nish 18000, Serbia

[3] Selcuk Univ, Fac Sci, Dept Math, TR-42003 Selcuklu, Konya, Turkey

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

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 02期

关键词：

Jacobi polynomials; Laguerre polynomials; Generating function; Bilinear generating function; Bilateral generating function;

D O I：

10.1007/s40840-019-00750-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper deals with various recurrence relations, generating functions and series expansion formulas for two families of orthogonal polynomials in two variables, given Laguerre-Laguerre Koornwinder polynomials and Laguerre-Jacobi Koornwinder polynomials in the limit cases. Several families of bilinear and bilateral generating functions are derived. Furthermore, some special cases of the results presented in this study are indicated.

引用

页码：1403 / 1431

页数：29

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