On another approach for a family of Appell polynomials

DOI10.2298/FIL1812155BzbMath1499.05029OpenAlexW2940571656WikidataQ128009701 ScholiaQ128009701MaRDI QIDQ5087799

S. Hadj-Brahim, Hacène Belbachir, Mustapha Rachidi

Publication date: 1 July 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1812155b

zbMATH Keywords

combinatorial identitiesAppell polynomialsBernoulli polynomialsGenocchi polynomialsEuler polynomialsnested sumsdeterminental approach

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Numerical computation of determinants (65F40) Special sequences and polynomials (11B83) Matrices, determinants in number theory (11C20)

Related Items (8)

Ordinary generating function for a class of Appell polynomials and Stirling symmetric polynomials ⋮ Some combinatorial identities of the degenerate Bernoulli and Euler-Genocchi polynomials ⋮ Some explicit formulas for the generalized Frobenius-Euler polynomials of higher order ⋮ Unnamed Item ⋮ Unified Bernoulli-Euler polynomials of Apostol type ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• Convolution identities and lacunary recurrences for Bernoulli numbers
• A determinantal approach to Appell polynomials
• Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums
• Some characterizations of Appell and q-Appell polynomials
• Remarks on some relationships between the Bernoulli and Euler polynomials.
• Some binomial formulas of the generalized Appell form
• A generalization of the Bernoulli polynomials
• Addition theorems for the Appell polynomials and the associated classes of polynomial expansions
• Some families of differential equations associated with the Hermite-based Appell polynomials and other classes of Hermite-based polynomials
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
• On the nested sums and orthogonal polynomials
• Solving parameterized linear difference equations in terms of indefinite nested sums and products
• Note on Appell polynomials

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