1.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Trinity CollegeCA38 papers
- College SummitUS11 papers
- Northern Illinois UniversityUS5 papers
- Universitat Rovira i VirgiliES5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Huaqiao UniversityCN4 papers
- University at Buffalo, State University of New YorkUS4 papers
- University of Colorado BoulderUS4 papers
- University of HartfordUS4 papers
- University of Maryland, College ParkUS4 papers
- Center for Astrophysics Harvard & SmithsonianUS3 papers
- Sorbonne UniversitéFR3 papers
7 papers · 1 filter
Continued Fraction Proofs of -versions of Some Identities of Rogers-Ramanujan-Slater Type
Douglas Bowman, James Mc Laughlin, Nancy J. Wyshinski
We derive two general transformations for certain basic hypergeometric series from the recurrence formulae for the partial numerators and denominators of two -continued fraction…
Some properties of the distribution of the numbers of points on elliptic curves over a finite prime field
Saiying He, James Mc Laughlin
Let be a prime and for , let denote the elliptic curve over with equation . As usual define the tra…
A -continued fraction
Douglas Bowman, James Mc Laughlin, Nancy J. Wyshinski
We use the method of generating functions to find the limit of a -continued fraction, with 4 parameters, as a ratio of certain -series. We then use this result to give new pr…
The Convergence Behavior of -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…
The Convergence and Divergence of -Continued Fractions outside the Unit Circle
Douglas Bowman, James Mc Laughlin
We consider two classes of -continued fraction whose odd and even parts are limit 1-periodic for , and give theorems which guarantee the convergence of the continued frac…
A convergence theorem for continued fractions of the form
James Mc Laughlin, Nancy J. Wyshinski
In this paper we present a convergence theorem for continued fractions of the form . By deriving conditions on the which ensure that the odd and ev…
A Theorem on Divergence in the General Sense for Continued Fractions
Douglas Bowman, James Mc Laughlin
If the odd and even parts of a continued fraction converge to different values, the continued fraction may or may not converge in the general sense. We prove a theorem which settle…