Applications of constructed new families of generating‐type functions interpolating new and known classes of polynomials and numbers

DOI10.1002/MMA.7485zbMath1472.05010OpenAlexW3165369640MaRDI QIDQ4957873

Yilmaz Simsek

Publication date: 10 September 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7485

zbMATH Keywords

generating functionStirling numbersBernoulli numbersspecial functionsshift operatorEuler numbersLah numbersBernoulli polynomialsEuler polynomialsFubini numberscombinatorial numbers and sumsumbral calculus convention

Mathematics Subject Classification ID

Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Enumeration in graph theory (05C30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Interpolation in approximation theory (41A05) Real polynomials: analytic properties, etc. (26C05)

Related Items (2)

Construction of general forms of ordinary generating functions for more families of numbers and multiple variables polynomials ⋮ A new class of generalized Fubini polynomials and their computational algorithms

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