Whipple-type 3F2-series and summation formulae involving generalized harmonic numbers

DOI10.1142/S1793042118501452zbMath1395.05009arXiv1709.00335OpenAlexW2963114770WikidataQ114071983 ScholiaQ114071983MaRDI QIDQ4683196

Chuanan Wei, Xiaoxia Wang

Publication date: 20 September 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00335

zbMATH Keywords

hypergeometric seriesharmonic numbersderivative operatorWhipple's \({}_3F_2\)-series identity

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (3)

Unnamed Item ⋮ Unnamed Item ⋮ Combinatorial identities involving harmonic numbers

Uses Software

• SIGMA

Cites Work

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• A short proof for Gosper's \(_7F_6\)-series conjecture
• Riordan arrays and harmonic number identities
• The Abel-Zeilberger algorithm
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• Quadratic alternating harmonic number sums
• Sums of derivatives of binomial coefficients
• Symbolic summation assists combinatorics
• Chu–Vandermonde convolution and harmonic number identities
• Telescoping method, derivative operators and harmonic number identities
• Harmonic number identities via hypergeometric series and Bell polynomials
• New transformation formulae of quadratic 7F6-series
• Arithmetic theory of harmonic numbers
• Hypergéométrie et fonction zêta de Riemann
• Strange Evaluations of Hypergeometric Series
• Arithmetic theory of harmonic numbers (II)

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