Article: Convergence of the Smarandache general continued fraction.

Article: Dynamics of a continued fraction of Ramanujan with ...
Abstract and Applied Analysis;  January 1, 2005 ;     700+ words ... ... gt; 1, denote the continued fraction [[??].sub.1](a,b) by ... stochastic Ramanujan continued fraction [[??].sub.1](a,b) defined ... 1.6) For the continued fraction [[??].sub.1](a), we have ...

Dictionary definition: continued fraction
The Concise Oxford Dictionary of Mathematics;      361 words ...continued fraction An expression of the form q 1 ... that is easier to print,If the continued fraction terminates, it gives a rational ... positive rational number as a continued fraction can be found by using the Euclidean ...

Article: Some theorems on Ramanujan's Cubic continued ...
Tamsui Oxford Journal of Mathematical Sciences;  December 1, 2008 ;     327 words ...M. S. Mahadeva Naika [dagger] Department of Mathematics, Bangalore University, Central College Campus, Bangalore-560 001, Karnataka, India Received February 9, 2007, Accepted March 27, 2007. * 2000 Mathematics Subject Classification. 33D10, 11A55, 11F27. [dagger] E-mail: msmnaika@rediffmail.com

Article: [pi] division and addition.
Australian Mathematics Teacher;  June 22, 2008 ;     700+ words ... ... 3] + 1/[a.sub.4] + ... ] is called a simple continued fraction. The expressions [a.sub.1], [a.sub ... 2] + 1/[a.sub.3], ... ] are ... convergents of the continued fraction. Now this is all ...

Article: On Euler's differential methods for continued fractions.
Electronic Transactions on Numerical Analysis;  December 1, 2006 ;     700+ words ... ... Markov [15]). Let [b.sub.0] + [[infinity] K over (n=1)] ([a.sub.n]/[b.sub.n]) be a positive continued fraction and let [z.sub.n+1] defined by zi = [b.sub.0] + [a.sub.1]/[b.sub.1 ...

Article: Orthogonal polynomials and Ramanujan's q-continued fractions.
Electronic Transactions on Numerical Analysis;  December 1, 2006 ;     700+ words ... ... 1.1), the following continued fraction identity (a continued fraction found in Ramanujan's ... Furthermore, [F.sub.R] (a, b, [lambda ... with Roger-Ramanujan Continued Fraction. The original idea of ...

Article: On the continued fractions and Dirichlet L-functions.(Report)
Scientia Magna;  September 1, 2008 ;     700+ words ... ... equal to] n) be natural numbers, continued fraction <[x.sub.0], [x.sub.1 ... x.sub.1], ... , [x.sub.n]>. Proof. Let continued fraction <[x.sub.0], [x.sub.1 ...