Representations by degenerate Bernoulli polynomials arising from Volkenborn integral

DOI10.1002/mma.8195zbMath1527.05022OpenAlexW4214865994MaRDI QIDQ6071009

Dae San Kim, Taekyun Kim

Publication date: 27 November 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8195

zbMATH Keywords

umbral calculusdegenerate Bernoulli polynomial arising from Volkenborn integralhigher-order degenerate Bernoulli polynomial arising from Volkenborn integral

Mathematics Subject Classification ID

Umbral calculus (05A40) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Related Items (1)

Some identities of degenerate multi-poly-Changhee polynomials and numbers

Cites Work

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• Fully degenerate poly-Bernoulli numbers and polynomials
• Some identities for the product of two Bernoulli and Euler polynomials
• Bernoulli basis and the product of several Bernoulli polynomials
• Genocchi polynomials associated with the umbral algebra
• Two-loop self-dual Euler-Heisenberg Lagrangians. I: Real part and helicity amplitudes
• A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
• A relation between Bernoulli numbers
• Quantum cohomology and Virasoro algebra
• Virasoro constraints and the Chern classes of the Hodge bundle
• Degenerate Laplace transform and degenerate gamma function
• On Miki's identity for Bernoulli numbers
• Hodge integrals and Gromov-Witten theory
• On \(\lambda\)-linear functionals arising from \(p\)-adic integrals on \(\mathbb{Z}_p\)
• A note on a new type of degenerate Bernoulli numbers
• Some identities on truncated polynomials associated with degenerate Bell polynomials
• Special numbers and polynomials including their generating functions in umbral analysis methods
• Series of sums of products of higher-order Bernoulli functions
• Bernoulli number identities from quantum field theory and topological string theory
• A note on higher-order Bernoulli polynomials
• Construction method for generating functions of special numbers and polynomials arising from analysis of new operators
• Fourier series of sums of products of Genocchi functions and their applications
• AN APPLICATION OF p-ADIC CONVOLUTIONS
• The Product of Two Eulerian Polynomials

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