New formulas including convolution, connection and radicals formulas of k-Fibonacci and k-Lucas polynomials

Author:

Abd-Elhameed W. M.,Zeyada N. A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference23 articles.

1. A.F. Horadam. Basic properties of a certain generalized sequence of numbers. The Fibonacci Quart., 3(3):161–176, 1965.

2. W. Zhang. On Chebyshev polynomials and Fibonacci numbers. Fibonacci Quart., 40(5):424–428, 2002.

3. H.H. Gulec, N. Taskara, and K. Uslu. A new approach to generalized Fibonacci and Lucas numbers with binomial coefficients. Appl. Math. Comput., 220:482–486, 2013.

4. S. Falcon and A. Plaza. On the Fibonacci $$k-$$numbers. Chaos Soliton Fract., 32(5):1615–1624, 2007.

5. W.M. Abd-Elhameed and N.A. Zeyada. A generalization of generalized Fibonacci and generalized Pell numbers. Internat. J. Math. Ed. Sci. Tech., 48(1):102–107, 2017.

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