2 papers
math.CA2009
Fibonacci numbers, Euler's 2-periodic continued fractions and moment sequences
Christian Berg, Antonio J. Durán
We prove that certain sequences of finite continued fractions associated with a 2-periodic continued fraction with period a,b>0 are moment sequences of discrete signed measures sup…
math.CV2008
Iteration of the rational function z-1/z and a Hausdorff moment sequence
Christian Berg, Antonio J. Durán
In a previous paper we considered a positive function f, uniquely determined for s>0 by the requirements f(1)=1, log(1/f) is convex and the functional equation f(s)=psi(f(s+1)) wit…