Identities related to special polynomials and combinatorial numbers

DOI10.2298/FIL1715833YzbMath1499.11130MaRDI QIDQ5020922

Takao Komatsu, Yilmaz Simsek, Eda Yülüklü

Publication date: 7 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

generating functionsfunctional equationStirling numbersBernoulli numbersbinomial coefficientsEuler numbersarray polynomialscombinatorial sum

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) 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) Real polynomials: analytic properties, etc. (26C05)

Related Items (1)

Special numbers and polynomials including their generating functions in umbral analysis methods

Cites Work

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• Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi poly\-nomials
• \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
• Some identities and congruences involving a certain family of numbers
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
• Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials

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