Results 81 to 90 of about 130,314 (163)

Continued Fractions of Quadratic Numbers

, 2013
In this paper, we will first summarize known results concerning continued fractions. Then we will limit our consideration to continued fractions of quadratic numbers.
Hrušková, Aranka, Balková, Lubomíra, L'ubomíra Balková, Aranka Hrušková, Balková, L\u27ubomíra   +4 more
core   +1 more source

Continued Fractions with Quadratic Numerators via the Bauer–Muir Transform

Mathematics
We study a class of continued fraction transformations where the partial numerators are quadratic polynomials and the denominators are linear or constant.
Kwang-Wu Chen, Chia-Hsin Liu
doaj   +1 more source

Convergence of matrix continued fractions

, 2000
The aim of this work is to give some criteria on the convergence of matrix continued fractions. We begin by presenting some new results which generalize the links between the convergent elements of real continued fractions.
Ali Kacha, Kacha, Ali, Raissouli, Mustapha, Mustapha Raissouli   +3 more
core   +1 more source

Hypergeometric series and continued fractions

, 1987
Ramanujan's results on continued fractions are simple consequences of three-term relations between hypergeometric series. Their q-analogues lead to many of the continued fractions given in the 'Lost' notebook in particular the famous one considered by ...
Ramanathan, K. G.
core   +1 more source

A Gauss-Kuzmin theorem for continued fractions associated with nonpositive integer powers of an integer m ≥ 2. [PDF]

ScientificWorldJournal, 2014
Lascu D.
europepmc   +1 more source

A family of continued fractions

, 2010
We investigate a one-parameter family of infinite generalised continued fractions. The fractions converge to rational values which can be explicitly evaluated.
David Angell, Angell, David
core   +1 more source

MATLAB GUI for computing Bessel functions using continued fractions algorithm

Revista Brasileira de Ensino de Física
Higher order Bessel functions are prevalent in physics and engineering and there exist different methods to evaluate them quickly and efficiently. Two of these methods are Miller's algorithm and the continued fractions algorithm.
E. Hernández, K. Commeford, M.J. Pérez-Quiles   +2 more
doaj   +1 more source

An Investigation of Continued Fractions

, 2006
The study of continued fractions has produced many interesting and exciting results in number theory and other related fields of mathematics. Continued fractions have been studied for centuries by many famous mathematicians such as Wallis, Euler, Gauss ...
Schroeder, Sandra, Patton, Kristi, Daquila, Richard   +2 more
core  

On simple continued fractions

, 1993
This thesis presents a study concerning a sequence of real numbers which gives rise to a continued fraction whenever the second equation is substituted to the first equation and each fraction after the second is substituted to the denominator of the ...
Sy, Phyllis Lim, See, Shirley Ong
core  

Continued fractions and series

, 2012
V tem diplomskem delu preučujemo zvezo med navadnimi verižnimi ulomki in neskončnimi številskimi vrstami. V prvem poglavju opišemo osnove teorije navadnih verižnih ulomkov. Posebej obravnavamo končne, neskončne in periodične verižne ulomke.
Ferk, Sonja
core