Trinity College

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20032023

most citedExploring the Sensitivity of Next Generation Gravitational Wave Detectors

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Showing 2018 · math.NTShow all

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math.NT2018★ 1 cited

The Convergence Behavior of $q$ -Continued Fractions on the Unit Circle

Douglas Bowman, James Mc Laughlin

In a previous paper, we showed the existence of an uncountable set of points on the unit circle at which the Rogers-Ramanujan continued fraction does not converge to a finite value…

math.NT2018★ 2 cited

The Convergence and Divergence of $q$ -Continued Fractions outside the Unit Circle

Douglas Bowman, James Mc Laughlin

We consider two classes of $q$ -continued fraction whose odd and even parts are limit 1-periodic for $∣ q ∣ > 1$ , and give theorems which guarantee the convergence of the continued frac…

math.NT2018★ 4 cited

A convergence theorem for continued fractions of the form $K_{n = 1}^{\infty} a_{n} /1$

James Mc Laughlin, Nancy J. Wyshinski

In this paper we present a convergence theorem for continued fractions of the form $K_{n = 1}^{\infty} a_{n} /1$ . By deriving conditions on the $a_{n}$ which ensure that the odd and ev…

The Convergence Behavior of q-Continued Fractions on the Unit Circle

The Convergence and Divergence of q-Continued Fractions outside the Unit Circle

A convergence theorem for continued fractions of the form Kn=1∞​an​/1

The Convergence Behavior of $q$ -Continued Fractions on the Unit Circle

The Convergence and Divergence of $q$ -Continued Fractions outside the Unit Circle

A convergence theorem for continued fractions of the form $K_{n = 1}^{\infty} a_{n} /1$