Some identities of degenerate harmonic and degenerate hyperharmonic numbers arising from umbral calculus

DOI10.1515/math-2023-0124zbMath1527.11014MaRDI QIDQ6083286

Taekyun Kim, Dae San Kim, Hye Kyung Kim

Publication date: 31 October 2023

Published in: Open Mathematics (Search for Journal in Brave)

zbMATH Keywords

umbral calculusdegenerate harmonic numberdegenerate hyperharmonic number

Mathematics Subject Classification ID

Umbral calculus (05A40) Binomial coefficients; factorials; (q)-identities (11B65) Special sequences and polynomials (11B83)

Cites Work

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• Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
• On fully degenerate Daehee numbers and polynomials of the second kind
• The umbral calculus
• Identities involving harmonic and hyperharmonic numbers
• On some degenerate differential and degenerate difference operators
• Identities involving 3-variable Hermite polynomials arising from umbral method
• Degenerate Sheffer sequences and \(\lambda \)-Sheffer sequences
• Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers
• Hermite base Bernoulli type polynomials on the umbral algebra
• \(\lambda\)-\(q\)-Sheffer sequence and its applications
• Some identities on degenerate hyperharmonic numbers
• Some identities on degenerate \(r\)-Stirling numbers via Boson operators
• Some identities involving degenerate Stirling numbers associated with several degenerate polynomials and numbers

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