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Integral Transforms and Special Functions Volume 24, 2013 - Issue 4
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Original Articles

Chu–Vandermonde convolution and harmonic number identities

Chuanan Wei Department of Information Technology, Hainan Medical College, Haikou, 571101, People's Republic of China
,
Dianxuan Gong College of Sciences, Hebei Polytechnic University, Tangshan, 063009, People's Republic of ChinaCorrespondence[email protected]
&
Qin Wang Department of Information Technology, Hainan Medical College, Haikou, 571101, People's Republic of China
Pages 324-330 | Received 22 Feb 2012, Accepted 26 Apr 2012, Published online: 28 May 2012

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Read on this site (10)

Wathek Chammam. (2019) Generalized harmonic numbers, Jacobi numbers and a Hankel determinant evaluation. Integral Transforms and Special Functions 30:7, pages 581-593.
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Hongmei Liu & Weiping Wang. (2019) Gauss's theorem and harmonic number summation formulae with certain mathematical constants. Journal of Difference Equations and Applications 25:3, pages 313-330.
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Chuanan Wei, Yuanbo Yu & Huajun Zhang. (2018) Watson-type -series and summation formulae involving generalized harmonic numbers. Journal of Difference Equations and Applications 24:9, pages 1444-1472.
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Qinglun Yan & Yaqing Liu. (2017) Harmonic number identities involving telescoping method and derivative operator. Integral Transforms and Special Functions 28:10, pages 703-709.
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Chuanan Wei & Xiaoxia Wang. (2016) Summation formulas involving generalized harmonic numbers. Journal of Difference Equations and Applications 22:10, pages 1554-1567.
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Chuanan Wei. (2016) Minton-Karlsson identities and summation formulae involving generalized harmonic numbers. Integral Transforms and Special Functions 27:7, pages 592-598.
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Anthony Sofo. (2016) Harmonic numbers at half integer values. Integral Transforms and Special Functions 27:6, pages 430-442.
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Xiaoxia Wang & Yi Qu. (2015) Some generalized q-harmonic number identities. Integral Transforms and Special Functions 26:12, pages 971-984.
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Chuanan Wei, Qinglun Yan & Dianxuan Gong. (2015) A family of summation formulae involving harmonic numbers. Integral Transforms and Special Functions 26:9, pages 667-677.
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Chuanan Wei, Dianxuan Gong & Qinglun Yan. (2014) Telescoping method, derivative operators and harmonic number identities. Integral Transforms and Special Functions 25:3, pages 203-214.
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Articles from other publishers (7)

François Bienvenu, Gabriel Cardona & Celine Scornavacca. (2021) Revisiting Shao and Sokal’s B2 index of phylogenetic balance. Journal of Mathematical Biology 83:5.
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Krzysztof Bartoszek, Tomás M. Coronado, Arnau Mir & Francesc Rosselló. (2021) Squaring within the Colless index yields a better balance index. Mathematical Biosciences 331, pages 108503.
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Chuanan Wei & Xiaoxia Wang. (2018) Whipple-type 3F2-series and summation formulae involving generalized harmonic numbers. International Journal of Number Theory 14:09, pages 2385-2407.
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Anthony Sofo. (2016) HARMONIC NUMBERS AT HALF INTEGER AND BINOMIAL SQUARED SUMS. Honam Mathematical Journal 38:2, pages 279-294.
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Jun Wang & Chuanan Wei. (2016) Derivative operator and summation formulae involving generalized harmonic numbers. Journal of Mathematical Analysis and Applications 434:1, pages 315-341.
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Anthony Sofo. (2015) New families of alternating harmonic number sums. Tbilisi Mathematical Journal 8:2.
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Anthony Sofo. 2014. Analytic Number Theory, Approximation Theory, and Special Functions. Analytic Number Theory, Approximation Theory, and Special Functions 227 238 .

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