Title of article
Toeplitz transforms of Fibonacci sequences
Author/Authors
Connell، Liam J. نويسنده W. Westminster , , Levine، Matt نويسنده The Catalyst Lofts , , Mathes، Ben نويسنده Colby College , , Sukiennik، Justin نويسنده Colby College ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2015
Pages
10
From page
123
To page
132
Abstract
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.
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2015
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2388996
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