On some formulas for the confluent Horn functions H3 (c) (a, b, c; d; w, z), H4 (c) (a, c; d; w, z) and H9 (c) (a, b; c; w, z)

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-09-12 DOI:10.1080/10652469.2022.2117807

Yu. A. Brychkov, N. Savischenko

引用次数: 1

Abstract

ABSTRACT Some new relations for the confluent Horn functions , and are obtained including differentiation and integration formulas, series and reduction formulas. Some generating functions for various special functions are given in terms of these Horn functions.

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关于合流Horn函数H3（c）（a，b，c；d；w，z）、H4

摘要得到了并合Horn函数的一些新关系式，包括微分和积分公式、级数和归约公式。根据这些Horn函数，给出了各种特殊函数的生成函数。

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

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.