On Boole-type combinatorial numbers and polynomials

DOI10.2298/FIL2002559SzbMath1499.05023OpenAlexW3111338185MaRDI QIDQ5865629

Yilmaz Simsek

Publication date: 9 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2002559s

zbMATH Keywords

generating functionsfunctional equationStirling numbersbinomial coefficientApostol-Bernoulli polynomialsCauchy numbersPeters polynomialsApostol-Euler polynomialsBoole polynomialscombinatorial numbersspecial numbers and polynomialsChanghee numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83) Real polynomials: analytic properties, etc. (26C05)

Related Items (5)

Explicit, determinantal, recursive formulas and relations of the Peters polynomials and numbers ⋮ Analysis of Apostol-Type Numbers and Polynomials with Their Approximations and Asymptotic Behavior ⋮ Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series ⋮ Derivation of computational formulas for Changhee polynomials and their functional and differential equations ⋮ Study on \(r\)-truncated degenerate Stirling numbers of the second kind

Cites Work

• Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials
• Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals
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