Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials

DOI10.1007/s13398-020-00968-3zbMath1456.05007OpenAlexW3110185095MaRDI QIDQ2220964

Yilmaz Simsek, Neslihan Kilar

Publication date: 25 January 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00968-3

zbMATH Keywords

Chebyshev polynomialsgenerating functioncombinatorial sumFibonacci-type polynomialsHermite-based Milne Thomson type polynomialstrigonometric type polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) 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) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Real polynomials: analytic properties, etc. (26C05) Exponential and trigonometric functions (33B10)

Related Items (5)

New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums ⋮ Formulas for special numbers and polynomials derived from functional equations of their generating functions ⋮ Formulae bringing to light from certain classes of numbers and polynomials ⋮ Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions ⋮ New computational formulas for special numbers and polynomials derived from applying trigonometric functions to generating functions

Uses Software

• Mathematica

Cites Work

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