Generalized Boole numbers and polynomials

DOI10.1007/s13398-015-0270-2zbMath1348.05031OpenAlexW2203006579MaRDI QIDQ326752

Taekyun Kim, Dae San Kim

Publication date: 12 October 2016

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-015-0270-2

zbMATH Keywords

umbral calculusgeneralized Boole polynomialsgeneralized Euler polynomials

Mathematics Subject Classification ID

Umbral calculus (05A40) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Special sequences and polynomials (11B83)

Related Items (3)

On modified degenerate Carlitz \(q\)-Bernoulli numbers and polynomials ⋮ Explicit, determinantal, recursive formulas and relations of the Peters polynomials and numbers ⋮ Some explicit identities for the modified higher-order degenerate q-Euler polynomials and their zeroes

Cites Work

• Several closed expressions for the Euler numbers
• Some identities of higher-order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus
• New approach to \(q\)-Euler polynomials of higher order
• An identity of the symmetry for the Frobenius-Euler polynomials associated with the fermionic \(p\)-adic invariant \(q\)-integrals on \({\mathbf Z}_p\)
• \(q\)-Volkenborn integration
• On the Stirling numbers associated with the meromorphic Weyl algebra
• On the \(\mu\)-invariant of the \(\Gamma\)-transform of a rational function
• On \(p\)-adic \(q\)-\(l\)-functions and sums of powers
• A note on \((h,q)\)-Boole polynomials
• On \(p\)-adic interpolating function for \(q\)-Euler numbers and its derivatives
• On a p-adic interpolating function for the multiple generalized Euler numbers and its derivatives
• Complete sum of products of (h,q)-extension of Euler polynomials and numbers
• ON A p-ADIC INTERPOLATION FUNCTION FOR THE EULER NUMBERS AND ITS DERIVATIVES
• The Classical Umbral Calculus
• A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials
• ON TWISTED GENERALIZED EULER NUMBERS
• A note on Boole polynomials
• Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions
• Umbral calculus and Sheffer sequences of polynomials
• ON EULER NUMBERS
• Higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials
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