Add to ORKGWOS: 000374193500003The purpose of this paper is to give the notion of Farey-Pell sequence. We investigate some identities of the Farey-Pell sequence. Finally, a generalization of Farey-Pell sequence and an approximation to irrationals via Farey-Pell fractions are give
Abstract: Farey sequence has been a topic of interest to the mathematicians since the very beginning...
$ ( \rho_{1}=\frac{1}{[x]}, $ $\rho_{\Phi(X)-}1-\frac{1}{[x]}=1) $ , called the Farey series Introdu...
AbstractLetxbe a real number in [0, 1], Fnbe the Farey sequence of ordernandρn(x) be the distance be...
AbstractA generalization of Farey sequences to quadratic irrational numbers is given, for which the ...
AbstractA generalization of Farey sequences for higher dimensions is considered, and numerical resul...
The Farey Sequence of order n is the sequence made up of all non-negative irreducible proper fractio...
This thesis introduces the concept of using Farey Sequence in obtaining particular solutions of Line...
textThis dissertation consists of three parts. In the first part we consider the equidistribution o...
A reasonably complete theory of the approximation of an irrational by rational fractions whose numer...
In this paper we give the relationship between the regular continued fraction and the Lehner fractio...
In this paper we present polynomial generalizations for the Pell sequence and the Fibonacci sequence...
The Farey sequences can be used [1] to create the Eulers totient function φ(n), by identifying the f...
Abstract. We generalize classical results on the gap distribution (and other fine-scale statistics) ...
AbstractWe examine a pair of Rogers–Ramanujan type identities of Lebesgue, and give polynomial ident...
We examine a pair of Rogers-Ramanujan type identities of Lebesgue, and give polynomial identities fo...
Abstract: Farey sequence has been a topic of interest to the mathematicians since the very beginning...
$ ( \rho_{1}=\frac{1}{[x]}, $ $\rho_{\Phi(X)-}1-\frac{1}{[x]}=1) $ , called the Farey series Introdu...
AbstractLetxbe a real number in [0, 1], Fnbe the Farey sequence of ordernandρn(x) be the distance be...
AbstractA generalization of Farey sequences to quadratic irrational numbers is given, for which the ...
AbstractA generalization of Farey sequences for higher dimensions is considered, and numerical resul...
The Farey Sequence of order n is the sequence made up of all non-negative irreducible proper fractio...
This thesis introduces the concept of using Farey Sequence in obtaining particular solutions of Line...
textThis dissertation consists of three parts. In the first part we consider the equidistribution o...
A reasonably complete theory of the approximation of an irrational by rational fractions whose numer...
In this paper we give the relationship between the regular continued fraction and the Lehner fractio...
In this paper we present polynomial generalizations for the Pell sequence and the Fibonacci sequence...
The Farey sequences can be used [1] to create the Eulers totient function φ(n), by identifying the f...
Abstract. We generalize classical results on the gap distribution (and other fine-scale statistics) ...
AbstractWe examine a pair of Rogers–Ramanujan type identities of Lebesgue, and give polynomial ident...
We examine a pair of Rogers-Ramanujan type identities of Lebesgue, and give polynomial identities fo...
Abstract: Farey sequence has been a topic of interest to the mathematicians since the very beginning...
$ ( \rho_{1}=\frac{1}{[x]}, $ $\rho_{\Phi(X)-}1-\frac{1}{[x]}=1) $ , called the Farey series Introdu...
AbstractLetxbe a real number in [0, 1], Fnbe the Farey sequence of ordernandρn(x) be the distance be...