多元解析环境下的广义apell多项式与futer - bargmann变换

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2021-12-30 DOI:10.1142/s0219530522500191

A. Martino, K. Diki

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引用次数: 0

摘要

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

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

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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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464