논문KCI 등재
On the sequences related to Fibonacci and Lucas numbers
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Abstract
In this paper, we obtain some properties of the se-quences Uq n and Vqn introduced in [6]. We ¯nd polynomial repre-sentations and formulas of them. For q = 5, U5n is the Fibonacci sequence Fn and V5n is the Lucas sequence Ln.
참고문헌 (6)
- "The Golden Ratio and Fibonacci Numbers", pp.1997~ (1997), world scientic press
- "Paradoxes and OtherMathematical Entertainments from Scientic American." (1979)
- "Uber die bestimmung Dirichletscher reihen durch ihre funktionalgle-ichungen", 112, pp.664~ (1936)
- ",and the Golden Section:Theory andApplications" (1989), Halsted Press
- "Generalizations of Fibonacci and Lucas sequences", 21(1), pp.113~125 (2002)
- "Principal congruence subgroups of Hecke groups H"
관련 논문AI추천
Some relations on Lucas numbers and their sumsA. Tekcan, B. Gezer, O. Bizim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제2호Some computational formulas of mixed-convoluted sum for Fibonacci and Lucas sequencesG. Xi, Z. Zhang장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제14권 제2호$(\pm 1)$-Invariant Sequences and Truncated Fibonacci Sequences of the Second Kind김익표, 최경식, 황석근대한수학회 · 대한수학회지2005 · 제42권 제4호Generalized Fibonacci-Feinberg sequencesA.G. Shannon, C. K. Cook장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and Generalized Fibonacci Polynomial SequencesAlexandre Laugier, Manjil P. Saikia경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제1호GENERALIZING SOME FIBONACCI-LUCAS RELATIONS박호, Jongmin Lee, Junghyun Hong대한수학회 · 대한수학회논문집2023 · 제38권 제1호
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