A new family of combinatorial numbers and polynomials associated with peters numbers and polynomials

DOI10.2298/AADM190220042SzbMath1474.11073OpenAlexW3112496650MaRDI QIDQ4988996

Yilmaz Simsek

Publication date: 20 May 2021

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm190220042s

zbMATH Keywords

generating functionscombinatorial identitiesStirling numbersfunctional equationsBernoulli numbersFibonacci numbersbinomial coefficientsEuler numbersspecial sequences and polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Special sequences and polynomials (11B83) Real polynomials: analytic properties, etc. (26C05)

Related Items

Two Explicit Formulas for Degenerate Peters Numbers and Polynomials, A special approach to derive new formulas for some special numbers and polynomials, Construction of general forms of ordinary generating functions for more families of numbers and multiple variables polynomials, Explicit, determinantal, recursive formulas and relations of the Peters polynomials and numbers, A new class of generalized Fubini polynomials and their computational algorithms, Matrix representations for a certain class of combinatorial numbers associated with Bernstein basis functions and cyclic derangements and their probabilistic and asymptotic analyses, Sine and cosine types of generating functions

Cites Work

• Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi poly\-nomials
• Application of a composition of generating functions for obtaining explicit formulas of polynomials
• 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
• New families of special numbers for computing negative order Euler numbers and related numbers and polynomials
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