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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 23 - 34 (12page)
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In this paper, we rst de ne generalizations of Pell and Pell-Lucas sequences by the recurrence relations pn = 2ap_n-1 + (b - a^2)p_n-2 and q_n = 2aq_n-1 + (b - a^2)q_n-2 with initial conditions p0 = 0, p1 = 1, and q0 = 2, q1 = 2a, respectively. We give generating functions and Binet's formulas for these sequences. Also, we obtain some identities of these sequences.
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참고문헌 (9)
참고문헌 신청
G. Bilgici / 2014 / New generalizations of Fibonacci and Lucas sequences / Appl. Math. Sc 8(29):1429~1437
G. Bilgici / 2014 / Two generalizations of Lucas sequence / Appl. Math. Comput 245:526~538
A. Dasdemir / 2011 / On the Pell, Pell-Lucas and modified Pell numbers by matrix method / Appl. Math. Sci 5(64):3173~3181
M. on / 2009 / A new generalization of Fibonacci sequence and extended Binet's formula / Integers 9:639~654
H. H. Gulec / 2012 / On the(s; t)-Pell and(s; t)-Pell-Lucas sequences and their matrix represantations / Appl. Math. Lett 25:1554~1559
G. Bilgici / 2014 / Two generalizations of Lucas sequence / Appl. Math. Comput 245:526~538
A. Dasdemir / 2011 / On the Pell, Pell-Lucas and modified Pell numbers by matrix method / Appl. Math. Sci 5(64):3173~3181
M. on / 2009 / A new generalization of Fibonacci sequence and extended Binet's formula / Integers 9:639~654
H. H. Gulec / 2012 / On the(s; t)-Pell and(s; t)-Pell-Lucas sequences and their matrix represantations / Appl. Math. Lett 25:1554~1559
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