Articles with "polynomials new" as a keyword



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On the Lucas polynomials and some of their new identities

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Published in 2018 at "Advances in Difference Equations"

DOI: 10.1186/s13662-018-1527-9

Abstract: The main purpose of this paper is, using the elementary and combination methods, to study the arithmetical properties of the Lucas polynomials and to obtain some new and interesting identities for them. read more here.

Keywords: lucas polynomials; new identities; polynomials new;
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On the Chebyshev polynomials and some of their new identities

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Published in 2020 at "Advances in Difference Equations"

DOI: 10.1186/s13662-020-02550-y

Abstract: The main purpose of this paper is, using the elementary methods and properties of the power series, to study the computational problem of the convolution sums of Chebyshev polynomials and Fibonacci polynomials and to give… read more here.

Keywords: chebyshev polynomials; new identities; polynomials new;
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New Formulas and Connections Involving Euler Polynomials

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Published in 2022 at "Axioms"

DOI: 10.3390/axioms11120743

Abstract: The major goal of the current article is to create new formulas and connections between several well-known polynomials and the Euler polynomials. These formulas are developed using some of these polynomials’ well-known fundamental characteristics as… read more here.

Keywords: formulas connections; euler polynomials; polynomials new; new formulas ... See more keywords