15 citations · 16 across the 4 of their papers we have counts for
4 papers
Novel Results of Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals
W. M. Abd-Elhameed, N. A. Zeyada, A. N. Philippou
This paper is concerned with developing some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. All the connection coefficients involve hyp…
Some new identities of generalized Fibonacci and generalized Pell numbers via a new type of numbers
W. M. Abd-Elhameed, N. A. Zeyada
This paper is concerned with developing some new identities of generalized Fibonacci numbers and generalized Pell numbers. A new class of generalized numbers is introduced for this…
New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials
W. M. Abd-Elhameed, Y. H. Youssri, N. El-Sissi +1
We establish new connection formulae between Fibonacci polynomials and Chebyshev polynomials of the first and second kinds. These formulae are expressed in terms of certain values…
Nonsymmetric Generalized Jacobi Petrov-Galerkin Algorithms for Third- and Fifth-Order two Point Boundary Value Problems
E. H. Doha, W. M. Abd-Elhameed, Y. H. Youssri
Two families of certain nonsymmetric generalized Jacobi polynomials with negative integer indexes are used for solving third- and fifth-order two point boundary value problems subj…