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Abstract：
Based on the method of generating functions of the sequence of Fibonacci k-step and Lucas k-step polynomials, or on a crucial identity relating Fibonacci k-step and Lucas k-step polynomials, extensions of Sury’s relation and the alternating Sury’s relation involving Fibonacci k-step and Lucas k-step polynomials are derived, respectively. Extensions of Sury’s relation involving Fibonacci-type and Lucas-type polynomials are also obtained. Of course, these relations are generalizations of the well-known Fibonacci-Lucas relation. © 2023, Colgate University. All rights reserved.
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Integers
ISSN： 1553-1732
Year： 2023
Volume： 23
Cited Count：
WoS CC Cited Count： 0
SCOPUS Cited Count： 2
ESI Highly Cited Papers on the List： 0 Unfold All
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30 Days PV： 0
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