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math.NT2022★ 1 cited
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…
math.NT2022★ 1 cited
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…
math.NA2022
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…