24 citations · 188 across the 39 of their papers we have counts for
5 papers · 1 filter
Continued Fractions with Multiple Limits
Douglas Bowman, James Mc Laughlin
For integers , we study divergent continued fractions whose numerators and denominators in each of the arithmetic progressions modulo converge. Special cases give…
Real Numbers With Polynomial Continued Fraction Expansions
James Mc Laughlin, Nancy J. Wyshinski
In this paper we show how to apply various techniques and theorems (including Pincherle's theorem, an extension of Euler's formula equating infinite series and continued fractions,…
Ramanujan and Extensions and Contractions of Continued Fractions
James Mc Laughlin, Nancy J. Wyshinski
If a continued fraction is known to converge but its limit is not easy to determine, it may be easier to use an extension of $K_{n=1}^{\infty}a_{n}/b…
Ramanujan and the Regular Continued Fraction Expansion of Real Numbers
James Mc Laughlin, Nancy J. Wyshinski
In some recent papers, the authors considered regular continued fractions of the form \[ [a_{0};\underbrace{a,...,a}_{m}, \underbrace{a^{2},...,a^{2}}_{m}, \underbrace{a^{3},...,a^…
Symmetry and Specializability in the continued fraction expansions of some infinite products
James Mc Laughlin
Let . Set and, for , define . We describe several infinite families of polynomials for which the infi…