Toeplitz transforms of Fibonacci sequences
نویسندگان
چکیده مقاله:
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.
منابع مشابه
toeplitz transforms of fibonacci sequences
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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عنوان ژورنال
دوره 41 شماره Issue 7 (Special Issue)
صفحات 123- 132
تاریخ انتشار 2015-12-01
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