%0 Journal Article
%T Toeplitz transforms of Fibonacci sequences
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Connell, L.
%A Levine, M.
%A Mathes, B.
%A Sukiennik, J.
%D 2015
%\ 12/01/2015
%V 41
%N Issue 7 (Special Issue)
%P 123-132
%! Toeplitz transforms of Fibonacci sequences
%K Hankel transform
%K Fibonacci numbers
%K Fibonacci identities
%R
%X We introduce a matricial Toeplitz transform and prove that the Toeplitz transform of a second order recurrence sequence is another second order recurrence sequence. We investigate the injectivity of this transform and show how this distinguishes the Fibonacci sequence among other recurrence sequences. We then obtain new Fibonacci identities as an application of our transform.
%U http://bims.iranjournals.ir/article_728_fac81767727c4a836e2fc2d91f8e8fed.pdf