Gould-Hsu反演和Hagen-Rothe型卷积

华东师范大学学报(自然科学版) ›› 2009, Vol. 2009 ›› Issue (1): 78-83.

Gould-Hsu反演和Hagen-Rothe型卷积

魏传安

海南医学院信息技术部, 海口 571101

收稿日期:2008-04-18 修回日期:2008-06-05 出版日期:2009-01-25 发布日期:2009-01-25

Gould-Hsu inversions and Hagen-Rothe type convolutions(Chinese)

WEI Chuan-an

Department of Information Technology, Hainan Medical College, Haikou 571101, China

Received:2008-04-18 Revised:2008-06-05 Online:2009-01-25 Published:2009-01-25

摘要/Abstract

摘要：

通过引入分母因式,~定义了四种~Hagen-Rothe~型卷积.~%
它们本身没有封闭的表达式.~通过逆序和线性组合,
Andrews~和~Burge~的两个恒等式产生了另外的四个卷积公式.~以这四个公式为出发点,~利用~Gould-Hsu~反演,~%
建立了四对与~Hagen-Rothe~型卷积相关的对称公式.

关键词: Gould-Hsu反演, Hagen-Rothe卷积, Hagen-Rothe型卷积, Gould-Hsu反演, Hagen-Rothe卷积, Hagen-Rothe型卷积

Abstract:

Four kinds of Hagen-Rothe type convolutions were defined
by introducing denominator factors. They have no closed expressions
themselves. Two identities due to Andrews and Burge produced other
four convolution formulas by means of reversals and linear
combinations. Starting from these four formulae and using Gould-Hsu
inversions, four pairs of reciprocal formulas with respect to
Hagen-Rothe type convolutions were established.

Key words: Hagen-Rothe convolutions, Hagen-Rothe type convolutions, Gould-Hsu inversions, Hagen-Rothe convolutions, Hagen-Rothe type convolutions

中图分类号:

O157.1

魏传安. Gould-Hsu反演和Hagen-Rothe型卷积[J]. 华东师范大学学报(自然科学版), 2009, 2009(1): 78-83.

WEI Chuan-an. Gould-Hsu inversions and Hagen-Rothe type convolutions(Chinese)[J]. Journal of East China Normal University(Natural Sc, 2009, 2009(1): 78-83.

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