Toeplitz transforms of Fibonacci sequences
Authors
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.
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Journal title
volume 41 issue Issue 7 (Special Issue)
pages 123- 132
publication date 2015-12-01
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