3 papers
math.CO2020
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…
math.CA2017
A New Ring Theory Approach For Solving Cauchy-Euler differential Equations of Several Variables
Miloud Assal, Nasr Zeyada
In this article, we present an innovative method to find particular solutions of the non-homogeneous Cauchy-Euler equations in several variables and Sturm-Liouville equations. The…
math.RA2017
Modules Over the Ring of Ponderation functions with Applications to a Class of Integral Operators
Miloud Assal, Nasr A. Zeyada
In this paper we introduce new modules over the ring of ponderation functions, so we recover old results in harmonic analysis from the side of ring theory. Moreover, we prove that…