appell的f2, f3, horn的h2和olsson的fp函数的积分表示

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2020-01-01 DOI:10.2206/kyushujm.74.1

K. Mimachi

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引用次数: 2

摘要

．给出了Appell的超几何函数f2、f3、Horn的超几何函数h2和Olsson的超几何函数fp的欧拉型积分表示。它们的积分是相同的(直到一个常数因子)，只是积分的区域不同。Olsson Takayama]，和Koornwinder知道apell的超几何函数f3、Horn的超几何函数h2和Olsson的超几何函数P也作为的解出现。这里，阿佩尔的f3，霍恩的h2和奥尔森的fp是解析的

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INTEGRAL REPRESENTATIONS OF APPELL'S F2, F3, HORN'S H2 AND OLSSON'S FP FUNCTIONS

. We give integral representations of Euler type for Appell’s hypergeometric functions F 2 , F 3 , Horn’s hypergeometric function H 2 and Olsson’s hypergeometric function F P . Their integrands are the same (up to a constant factor), and only the regions of integration vary. Olsson Takayama ], and Koornwinder known that Appell’s hypergeometric function F 3 , Horn’s hypergeometric function H 2 and Olsson’s hypergeometric function P also appear as solutions of . Here Appell’s F 3 , Horn’s H 2 and Olsson’s F P are analytic

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.