Some new identities and formulas for higher-order combinatorial-type numbers and polynomials

DOI10.2298/FIL2002551KzbMath1499.05019OpenAlexW3112056700MaRDI QIDQ5865628

Irem Kucukoglu

Publication date: 9 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2002551k

zbMATH Keywords

generating functionsfunctional equationpartial differential equationsbinomial coefficientCauchy numbersStirling numbers of the first kindBoole polynomialsspecial numbers and polynomialsChanghee numbersSimsek numbers and polynomialsPeters poynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Special sequences and polynomials (11B83) Real polynomials: analytic properties, etc. (26C05) General topics in partial differential equations (35A99)

Related Items (2)

Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters ⋮ Analysis of Apostol-Type Numbers and Polynomials with Their Approximations and Asymptotic Behavior

Cites Work

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• 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
• Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications
• A note on Boole polynomials
• A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials

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