Some new identities and congruences for Fubini numbers
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DOI: 10.1016/j.jnt.2016.09.032
Abstract: Abstract In this paper we make extensive use of the p-adic Laplace transform and p-adic integration to study and obtain some new identities and congruences for Fubini numbers. Further, we introduce the concept of generalized… read more here.
Keywords: identities congruences; fubini numbers; new identities; congruences fubini ... See more keywords
On the Lucas polynomials and some of their new identities
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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;
On the Chebyshev polynomials and some of their new identities
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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;
Some new identities and formulas for higher-order combinatorial-type numbers and polynomials
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DOI: 10.2298/fil2002551k
Abstract: The main purpose of this paper is to provide various identities and formulas for higherorder combinatorial-type numbers and polynomials with the help of generating functions and their both functional equations and derivative formulas. The results… read more here.
Keywords: numbers polynomials; combinatorial type; type numbers; identities formulas ... See more keywords