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GENERALIZING SOME FIBONACCI-LUCAS RELATIONS
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Edgar obtained an identity between Fibonacci and Lucas numbers which generalizes previous identities of Benjamin--Quinn and Marques. Recently, Dafnis provided an identity similar to Edgar's. In the present article we give some generalizations of Edgar's and Dafnis's identities.
Abstract
Edgar obtained an identity between Fibonacci and Lucas numbers which generalizes previous identities of Benjamin--Quinn and Marques. Recently, Dafnis provided an identity similar to Edgar's. In the present article we give some generalizations of Edgar's and Dafnis's identities.
참고문헌 (5)
- A. T. Benjamin, "Fibonacci and Lucas identities through colored tilings", Util. Math, 56, pp.137~142 (1999)
- S. D. Dafnis, "On the relation between Fibonacci and Lucas numbers", Fibonacci Quart, 58(5), pp.111~114 (2020)
- T. Edgar, "Extending some Fibonacci-Lucas relations", Fibonacci Quart, 54(1), pp.79~ (2016)
- T. Koshy, "Fibonacci and Lucas Numbers with Applications. Vol. 2, Pure and Applied Mathematics" (2019), John Wiley & Sons, Inc
- D. Marques, "A new Fibonacci-Lucas relation", Amer. Math. Monthly, 122(7), pp.683~ (2015)[DOI]
관련 논문AI추천
SOME NOTES ON A FIBONACCI-LUCAS IDENTITYKunle Adegoke, Robert Frontczak, Taras Goy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제4호A complete formula for the order of appearance of the powers of Lucas numbersPrapanpong Pongsriiam대한수학회 · 대한수학회논문집2016 · 제31권 제3호Lucas-Euler Relations Using Balancing and Lucas-Balancing PolynomialsRobert Frontczak, TARAS GOY경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제3호ADDITIONAL CLOSE LINKS BETWEEN BALANCING AND LUCAS-BALANCING POLYNOMIALSROBERT FRONTCZAK, TARAS GOY장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제3호Some Properties of (p, q) - Lucas NumberAlongkot Suvarnamani경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호On the sequences related to Fibonacci and Lucas numbersNihal Yilmaz Ä, OzgÄ, ur대한수학회 · 대한수학회지2005 · 제42권 제1호
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