Generalized Appell polynomials and Fueter-Bargmann transforms in the polyanalytic setting

IF 2 2区数学 Q1 MATHEMATICS

Analysis and Applications Pub Date : 2021-12-30 DOI:10.1142/s0219530522500191

A. Martino, K. Diki

引用次数: 0

Abstract

ispaper dealswith some special integral transforms in the seing of quaternionic valued slice polyanalytic functions. In particular, using the polyanalytic Fueter mappings it is possible to construct a new family of polynomials which are called the generalized Appell polynomials. Furthermore, the range of the polyanalytic Fueter mappings on two different polyanalytic Fock spaces is characterized. Finally, we study the polyanalytic Fueter-Bargmann transforms. AMS Classification: 44A15, 30G35, 42C15, 46E22

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多元解析环境下的广义apell多项式与futer - bargmann变换

本文讨论了四元数值切片多分析函数中的一些特殊积分变换。特别地，使用多解析Fueter映射，可以构造一个新的多项式族，称为广义Appel多项式。此外，刻画了两个不同的多解析Fock空间上的多解析Fueter映射的范围。最后，我们研究了多解析Fueter-Bargmann变换。AMS分类：44A15、30G35、42C15、46E22

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Analysis and Applications 数学-数学

CiteScore

3.90

自引率

4.50%

发文量

审稿时长

>12 weeks

期刊介绍： Analysis and Applications publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of variations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis.