双复数超几何函数及其性质

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-11-30 DOI:10.1080/10652469.2022.2150764

Rekha Meena, Ajit Kumar Bhabor

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引用次数: 1

摘要

本文的目的是定义双复超几何函数。我们从广义上的特殊函数理论中得到了一些有用的结果。讨论了双复超几何函数的双复全纯性，并在此基础上建立了一些有意义的关系，以及存在条件的一些双复几何表示。

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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Bicomplex hypergeometric function and its properties

The aim of this article is to define the bicomplex hypergeometric function. We obtain some useful results from the theory of special functions over a relatively large domain. We discuss the bicomplex holomorphicity of the bicomplex hypergeometric function and establish some significant relations based on it along with some bicomplex geometric representations of conditions of existence.

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.