1 citations · 2 across the 6 of their papers we have counts for
6 papers
On algebraic independence of three p-adic continued fractions
Sarra Ahallal, Mohamed Begare, Ali Kacha
In this paper, we establish sufficient conditions on the elements of the p-adic continued fractions and which guarantee that the p-adic continued fractions and $A^{…
On the transcendence of some operations of infinite series
Sarra Ahallal, Fedoua Sghiouer, Ali Kacha
In the present paper and as an application of Roth's theorem concerning the rational approximation of algebraic numbers, we give a sufficient condition that will assure us that a s…
Transcendence of some infinite series
Fedoua Sghiouer, Kacem Belhroukia, Ali Kacha
In the present paper and as an application of Roth's theorem concerning the rational approximation of algebraic numbers, we give a sufficient condition that will assure us that a s…
Transcendental Continued Fractions
Sarra Ahallal, Ali Kacha
In the present paper, we give sufficient conditions on the elements of the continued fractions and that will assure us that the continued fraction is a transcendental…
Matrix continued fractions and Expansions of the Error Function
S. Mennou, A. Chillali, A. Kacha
In this paper we recall some results and some criteria on the convergence of matrix continued fractions. The aim of this paper is to give some properties and results of continued f…
Continued fraction representations of the generalized operator entropy
Sarra Ahallal, Said Mennou, Ali Kacha
The direct calculation of the Generalized operator entropy proves difficult by the appearance of rational exponents of matrices. The main motivation of this work is to overcome the…