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Gould-Hsu Inversion Chains and Their Applications
Received:June 17, 2010
Revised:October 12, 2010
Key Words
:
Gould-Hsu inversion
combinatorial identities
hypergeometric series.
Fund Project
:
Supported by the Science Foundation of Dalian Nationalities University (Grant No.DC110305).
Author Name
Affiliation
Hongmei LIU
School of Science
,
Dalian Nationalities University
,
Liaoning 116600
,
P. R. China
Shuyan DING
School of Science
,
Dalian Nationalities University
,
Liaoning 116600
,
P. R. China
Shuhua QI
School of Science
,
Dalian Nationalities University
,
Liaoning 116600
,
P. R. China
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Abstract
:
In this paper, by means of Gould-Hsu inverse series relations, we establish several Gould-Hsu inversion chains. As consequence, some new transformation formulae as well as some famous hypergeometric series identities are derived.
Citation:
DOI
:
10.3770/j.issn:2095-2651.2012.02.004
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