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Generating functions of binary products of k-Fibonacci and orthogonal polynomials
(SPRINGER-VERLAG ITALIA SRL, 2019-07)
In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Pell numbers and Tchebychev polynomials of first and second kind. By making use of the new operator defined ...
Symmetric functions of the k-Fibonacci and k-Lucas numbers
(WORLD SCIENTIFIC PUBL CO PTE LTD, MAR 2021)
In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Lucas numbers and Fibonacci polynomials. By making use of the new operator defined in this paper, we give ...
Construction of a New Class of Generating Functions of Binary Products of Some Special Numbers and Polynomials
(UNIV NIS, 2021)
In this paper, we derive some new symmetric properties of k-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special numbers such as k-Fibonacci ...
Symmetric functions of the k-Fibonacci and k-Lucas numbers
(World Scientific Publishing Co. Pte Ltd, 2020)
In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Lucas numbers and Fibonacci polynomials. By making use of the new operator defined in this paper, we give ...
Construction of a new class of symmetric function of binary products of (p, q)-numbers with 2-orthogonal Chebyshev polynomials
(Birkhauser, March 2021)
In this paper, we give some new generating functions of the products of (p, q)-Fibonacci numbers, (p, q) -Lucas numbers, (p, q)-Pell numbers, (p, q) -Pell Lucas numbers, (p, q)-Jacobsthal numbers, and (p, q)-Jacobsthal ...
