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Journal of Difference Equations and Applications Volume 12, 2006 - Issue 8
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Original Articles

Abel's method on summation by parts and hypergeometric series

Chu Wenchang College of Advanced Science and Technology, Dalian University of Technology, Dalian, 116024, P.R. ChinaView further author information
Pages 783-798 | Received 23 Aug 2005, Accepted 08 Mar 2006, Published online: 25 Jan 2007

Citations (11)

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Read on this site (3)

Xiaoxia Wang. (2012) Recursion formulas for Appell functions. Integral Transforms and Special Functions 23:6, pages 421-433.
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Wenchang Chu & Xiaoxia Wang. (2009) The modified Abel lemma on summation by parts and terminating hypergeometric series identities. Integral Transforms and Special Functions 20:2, pages 93-118.
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Wenchang Chu & Xiaoxia Wang. (2007) Abel's method on summation by parts and hypergeometric contiguous relations. Integral Transforms and Special Functions 18:11, pages 771-807.
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Articles from other publishers (8)

MARTA NA CHEN & WENCHANG CHU. (2022) EVALUATION OF CERTAIN EXOTIC (1)-SERIES. Nagoya Mathematical Journal 249, pages 107-118.
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Wenchang CHU. (2020) Nonterminating Well–Poised Hypergeometric Series. Hacettepe Journal of Mathematics and Statistics, pages 1-14.
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Wenchang Chu. (2017) Evaluation of nonterminating -series . Journal of Mathematical Analysis and Applications 450:1, pages 490-503.
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Chenying Wang & Xiaojing Chen. (2015) A short proof for Gosper's -series conjecture . Journal of Mathematical Analysis and Applications 422:2, pages 819-824.
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Wenchang Chu. (2011) Infinite Series Identities on Harmonic Numbers. Results in Mathematics 61:3-4, pages 209-221.
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Wenchang Chu. (2011) Dougall’s bilateral ₂𝐻₂-series and Ramanujan-like 𝜋-formulae. Mathematics of Computation 80:276, pages 2223-2251.
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Wenchang Chu & Xiaoyuan Wang. (2008) Abel’s lemma on summation by parts and terminating q-series identities. Numerical Algorithms 49:1-4, pages 105-128.
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Wenchang Chu & Cangzhi Jia. (2008) Abel's method on summation by parts and theta hypergeometric series. Journal of Combinatorial Theory, Series A 115:5, pages 815-844.
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