Fibonacci numbers, Euler's 2-periodic continued fractions and moment sequences

Details Fibonacci numbers, Euler's 2-periodic continued fractions and moment sequences Fibonacci numbers, Euler's 2-periodic continued fractions and moment sequences

2009-02-09

arxiv.org/abs/0902.1404v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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 supported in the interval [-1,1], and we give necessary and sufficient conditions in order that these measures are positive. For a=b=1 this proves that the sequence of ratios F_{n+1}/F_{n+2}, n\ge 0 of consecutive Fibonacci numbers is a moment sequence.

Affiliated with

Also associated with

No associations

Rating

Fibonacci numbers, Euler's 2-periodic continued fractions and moment sequences does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fibonacci numbers, Euler's 2-periodic continued fractions and moment sequences, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fibonacci numbers, Euler's 2-periodic continued fractions and moment sequences will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-176179