Normalized polynomials and their multiplication formulas

DOI10.1186/1687-1847-2013-31zbMath1365.05030OpenAlexW2165071367WikidataQ59294242 ScholiaQ59294242MaRDI QIDQ2360524

Yilmaz Simsek, Rahime Dere

Publication date: 4 July 2017

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-31

zbMATH Keywords

Appell sequencesBernoulli polynomials of higher orderEuler polynomials of higher orderGenocchi polynomials of higher orderumbral algebraHermite polynomials of higher order

Mathematics Subject Classification ID

Umbral calculus (05A40) Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83)

Related Items (2)

Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters ⋮ Unnamed Item

Cites Work

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• Genocchi polynomials associated with the umbral algebra
• \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• Hermite base Bernoulli type polynomials on the umbral algebra
• Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials
• Some families of Genocchi type polynomials and their interpolation functions
• The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
• Number of Irreducible Polynomials in Several Variables over Finite Fields
• A Note on the Multiplication Formulas for the Bernoulli and Euler Polynomials
• The Multiplication Formulas for the Bernoulli and Euler Polynomials

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