A NOTE ON HERMITE-BASED MILNE THOMSON TYPE POLYNOMIALS INVOLVING CHEBYSHEV POLYNOMIALS AND OTHER POLYNOMIALS

Abstract

The aim of this paper is to investigate and survey some relations between new families of polynomials including r-parametric Hermite-based Milne Thomson type polynomials and other special numbers, the Bernoulli numbers, the Euler numbers, and the Chebyshev polynomials. By using generating functions and their functional equations of these polynomials are presented. Moreover, using Wolfram Mathematica 12.0 version, some plots and surface of these polynomials under the special conditions are shown. Finally, some remarks, comments and observations for these numbers and polynomials are given.

Keywords

• Euler numbers and polynomials,Bernoulli numbers and polynomials,Chebyshev polynomials,Hermite-based Milne Thomson type polynomials,Generating function

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