A generalized inverse binomial summation theorem and some hypergeometric transformation formulas

DOI10.1155/2016/4546509zbMath1370.05009OpenAlexW2525201190WikidataQ59124223 ScholiaQ59124223MaRDI QIDQ2402944

S. M. Ripon

Publication date: 15 September 2017

Published in: International Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/4546509

zbMATH Keywords

Bell polynomialsbinomial theorem

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Hypergeometric functions (33C99)

Related Items (2)

Generating functions for series involving higher powers of inverse binomial coefficients and their applications ⋮ Unnamed Item

Cites Work

• Irreducible recurrences and representation theorems for \(_ 3F_ 2(1)\)
• Another method for a new two-term relation for the hypergeometric function \(_{3}F_{2}\) due to Exton
• Derivative operator and summation formulae involving generalized harmonic numbers
• Gauss's \(_ 2F_ 1(1)\) cannot be generalized to \(_ 2F_ 1(x)\)
• A new two-term relation for the \(_3 F_2\) hypergeometric function of unit argument
• Computer proofs of a new family of harmonic number identities.
• Hypergeometric series and harmonic number identities
• A certain family of series associated with the zeta and related functions.
• Harmonic number identities via the Newton-Andrews method
• Harmonic number identities via hypergeometric series and Bell polynomials
• The computation of₃F₂(1)
• Polynomials related to harmonic numbers and evaluation of harmonic number series II
• Generalization of a class of logarithmic integrals
• ON THE SUM OF A TERMINATING ₂F₂(1)
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