Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function

DOI10.1186/s13662-021-03337-5zbMath1494.11019arXiv2101.01893OpenAlexW3165423944WikidataQ114061260 ScholiaQ114061260MaRDI QIDQ2166889

Hyunseok Lee, Han Young Kim, Taekyun Kim, Dae San Kim, Lee-Chae Jang

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.01893

zbMATH Keywords

degenerate type Eulerian numbersgeneralized degenerate Bernoulli numbersgeneralized degenerate Bernoulli polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (9)

Poly-falling factorial sequences and poly-rising factorial sequences ⋮ A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties ⋮ Hypergeometric connections between balancing polynomials and Chebyshev polynomials of first and second kinds ⋮ Some new formulas of complete and incomplete degenerate Bell polynomials ⋮ Analytical properties of type 2 degenerate poly-Bernoulli polynomials associated with their applications ⋮ Degenerate Whitney numbers of first and second kind of Dowling lattices ⋮ Euler-type integrals for the generalized hypergeometric matrix function ⋮ Some identities of degenerate multi-poly-Changhee polynomials and numbers ⋮ Some identities and reciprocity relations of unipoly-Dedekind type DC sums

Cites Work

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• Degenerate binomial coefficients and degenerate hypergeometric functions
• A note on degenerate \(r\)-Stirling numbers
• A note on a new type of degenerate Bernoulli numbers
• Note on the degenerate gamma function
• Some identities involving derangement polynomials and numbers and moments of gamma random variables
• Extended degenerate \(r\)-central factorial numbers of the second kind and extended degenerate \(r\)-central Bell polynomials
• On \(p\)-Bernoulli numbers and polynomials
• A note on degenerate stirling polynomials of the second kind

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