BILATERAL AND BILINEAR GENERATING FUNCTIONS FOR THE GENERALIZED ZERNIKE OR DISC POLYNOMIALS

被引：0

作者：

Aktas, Rabia ^{[1
]}

Tasdelen, Fatma ^{[1
]}

Yavuz, Nuray ^{[1
]}

机构：

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

来源：

ARS COMBINATORIA | 2013年 / 111卷

关键词：

Jacobi polynomials; generalized Zernike polynomials; disc polynomials; generating function; bilinear generating function; bilateral generating function; FAMILIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain some generating functions for the generalized Zernike or disk polynomials P-m,n(alpha) (z, z*) which are investigated by Wunsche [13]. We derive various families of bilinear and bilateral generating functions. Furthermore, some special cases of the results presented in this study are indicated. Also, it is possible to obtain multilinear and multilateral generating functions for the polynomials P-m,n(alpha) (z, z*).

引用

页码：389 / 400

页数：12

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