The Generalized Clifford-Gegenbauer Polynomials Revisited

被引：0

作者：

Nele De Schepper

机构：

[1] Ghent University,Clifford Research Group, Department of Mathematical Analysis, Faculty of Engineering

来源：

Advances in Applied Clifford Algebras | 2009年 / 19卷

关键词：

12E10; 30G35; Gegenbauer polynomials; Clifford analysis;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By applying a method introduced by De Bie and Sommen in Clifford superanalysis, the orthogonality relations of the generalized Clifford–Gegenbauer polynomials of wavelet analysis are extended. Moreover, this new approach allows for proving new important properties of these polynomials, such as an annihilation equation, a differential equation and an expression in terms of the Jacobi polynomials on the real line.

引用

页码：253 / 268

页数：15

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