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The derivative operator and harmonic number identities.

Authors :
Wei, Chuanan
Gong, Dianxuan
Source :
Ramanujan Journal; Aug2014, Vol. 34 Issue 3, p361-371, 11p
Publication Year :
2014

Abstract

By applying the derivative operator to the corresponding hypergeometric form of a q-series transformation due to Andrews (see Theorem 4 in Theory and Application for Basic Hypergeometric Functions, pp. 191-224, Academic Press, New York, ), we establish a general harmonic number identity. As the special cases of it, several interesting Chu-Donno-type identities and Paule-Schneider-type identities are displayed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13824090
Volume :
34
Issue :
3
Database :
Complementary Index
Journal :
Ramanujan Journal
Publication Type :
Academic Journal
Accession number :
97052288
Full Text :
https://doi.org/10.1007/s11139-013-9510-2