关于Macdonald函数的Neumann级数

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-12-24 DOI:10.1080/10652469.2022.2157414

T. Pogány, N. Laraqi

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引用次数: 0

摘要

本文的主要目的是建立用麦克唐纳函数建立的Neumann级数的闭式表达式，其中阶包含求和指数，系数包括指数和因子的求和指数。受这一问题的启发，我们导出了包含麦克唐纳函数作为构建块的这类广义诺依曼级数的两个积分表示。

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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On Neumann series of Macdonald functions

The main aim of this article is to establish a closed-form expression for the Neumann series built with Macdonald functions in which order contains the summation index and the coefficients include the summation index exponentially and factorially. Motivated by this problem which occurs in several problems of physics or electrochemistry such as diffusion phenomena, we derive two integral representations of a general Neumann series of this type containing Macdonald functions as building blocks.

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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.