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Some remarks on
generalized recursive polynomials
Luke Wiljanen and Aklilu Zeleke
Vol. 14 (2021), No. 2, 181–194
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Abstract |
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We generate Fibonacci-type recursive polynomials through continued fractions. These polynomials generalize the well-known Fibonacci and Lucas polynomials. We present several results such as generating functions, finite sum representations and identities satisfied by these polynomials. Analytic results about the zeros of these polynomials are also presented. |
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Keywords
generalized Fibonacci polynomials, matrix identities,
generating functions
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Mathematical Subject Classification 2010
Primary: 11B39
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Milestones
Received: 8 May 2019
Revised: 10 June 2020
Accepted: 5 December 2020
Published: 6 April 2021
Communicated by Kenneth S. Berenhaut
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Authors |
| Luke Wiljanen | |
| Department of Mathematics Michigan State University East Lansing, MI United States |
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| Aklilu Zeleke | |
| Lyman Briggs College and Department
of Statistics and Probability Michigan State University East Lansing, MI United States |
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