Degenerate Sheffer sequences and \(\lambda \)-Sheffer sequences

DOI10.1016/j.jmaa.2020.124521zbMath1471.11110OpenAlexW3071618732MaRDI QIDQ2208282

Dae San Kim, Taekyun Kim

Publication date: 23 October 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124521

zbMATH Keywords

umbral calculusdegenerate Sheffer sequence\( \lambda \)-differential operator\( \lambda \)-linear functional\( \lambda \)-Sheffer operator\( \lambda \)-umbral operator

Mathematics Subject Classification ID

Umbral calculus (05A40) Special sequences and polynomials (11B83)

Related Items (19)

SOME IDENTITIES OF FULLY DEGENERATE DOWLING AND FULLY DEGENERATE BELL POLYNOMIALS ARISING FROM λ-UMBRAL CALCULUS ⋮ Degenerate Lah-Bell polynomials arising from degenerate Sheffer sequences ⋮ Some properties of degenerate complete and partial Bell polynomials ⋮ On \(\lambda\)-linear functionals arising from \(p\)-adic integrals on \(\mathbb{Z}_p\) ⋮ On the type 2 poly-Bernoulli polynomials associated with umbral calculus ⋮ Representations of degenerate Hermite polynomials ⋮ Degenerate Whitney numbers of first and second kind of Dowling lattices ⋮ Unnamed Item ⋮ Some identities of degenerate harmonic and degenerate hyperharmonic numbers arising from umbral calculus ⋮ \(\lambda\)-\(q\)-Sheffer sequence and its applications ⋮ Study of degenerate derangement polynomials by \(\lambda\)-umbral calculus ⋮ Central factorial numbers associated with sequences of polynomials ⋮ Some identities of degenerate higher-order Daehee polynomials based on \(\lambda\)-umbral calculus ⋮ Unnamed Item ⋮ A note on degenerate \(r\)-Stirling numbers ⋮ Degenerate Bell polynomials associated with umbral calculus ⋮ Representations of degenerate poly-Bernoulli polynomials ⋮ Some identities related to degenerate Stirling numbers of the second kind ⋮ Study on \(r\)-truncated degenerate Stirling numbers of the second kind

Cites Work

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• Some identities of extended degenerate \(r\)-central Bell polynomials arising from umbral calculus
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