EN
Incomplete $k$-Pell, $k$-Pell-Lucas and modified $k$-Pell numbers
Abstract
In this paper, it is defined the incomplete $k$-Pell, $k$-Pell-Lucas and Modified $k$-Pell numbers, it is studied the recurrence relations, some properties of these sequences of integers and their generating functions.
Keywords
References
- Aires, A. P., Catarino, P., Campos, H., Borges, A. and Vasco, P. $s$-Generalized Fibonacci Numbers: Some Identities, a Generating Function and Pythagorean Triples, Int. J. Math. Anal. 8 (36), 1757-1766, 2014.
- Bolat, C. and Köse, H. On the Properties of $k$-Fibonacci Numbers, Int. J. Contemp. Math. Sci. 22 (5), 1097-1105, 2010.
- Catarino, P. On some identities for $k$-Fibonacci sequence, Int. J. Contemp. Math. Sci. 9 (1), 37-42, 2014.
- Catarino, P. A note involving Two-by-Two Matrices of the $k$-Pell and $k$-Pell-Lucas Se- quences, Int. Math. Forum 8 (32), 1561-1568, 2013.
- Catarino, P. On some identities and generating functions for $k$-Pell numbers, Int. J. Math. Anal. 7 (38), 1877-1884, 2013.
- Catarino, P. and Vasco, P. On Some Identities and Generating Functions for $k$-Pell-Lucas Sequence, Appl. Math. Sci. 7 (98), 4867-4873, 2013.
- Catarino, P. and Vasco, P. Modified $k$-Pell Sequence: Some Identities and Ordinary Gen- erating Function, Appl. Math. Sci. 7 (121), 6031-6037, 2013.
- Catarino, P., Vasco, P., Borges, A., Campos, H., and Aires, A. P. Sums, Products and identities involving $k$-Fibonacci and $k$-Lucas sequences, JP J. Algebra Number Theory Appl. 32 (1), 63-77, 2014.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 1, 2017
Submission Date
October 20, 2015
Acceptance Date
April 11, 2016
Published in Issue
Year 2017 Volume: 46 Number: 3
APA
Catarino, P., & Campos, H. (2017). Incomplete $k$-Pell, $k$-Pell-Lucas and modified $k$-Pell numbers. Hacettepe Journal of Mathematics and Statistics, 46(3), 361-372. https://izlik.org/JA57LU93EN
AMA
1.Catarino P, Campos H. Incomplete $k$-Pell, $k$-Pell-Lucas and modified $k$-Pell numbers. Hacettepe Journal of Mathematics and Statistics. 2017;46(3):361-372. https://izlik.org/JA57LU93EN
Chicago
Catarino, Paula, and Helena Campos. 2017. “Incomplete $k$-Pell, $k$-Pell-Lucas and Modified $k$-Pell Numbers”. Hacettepe Journal of Mathematics and Statistics 46 (3): 361-72. https://izlik.org/JA57LU93EN.
EndNote
Catarino P, Campos H (June 1, 2017) Incomplete $k$-Pell, $k$-Pell-Lucas and modified $k$-Pell numbers. Hacettepe Journal of Mathematics and Statistics 46 3 361–372.
IEEE
[1]P. Catarino and H. Campos, “Incomplete $k$-Pell, $k$-Pell-Lucas and modified $k$-Pell numbers”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 3, pp. 361–372, June 2017, [Online]. Available: https://izlik.org/JA57LU93EN
ISNAD
Catarino, Paula - Campos, Helena. “Incomplete $k$-Pell, $k$-Pell-Lucas and Modified $k$-Pell Numbers”. Hacettepe Journal of Mathematics and Statistics 46/3 (June 1, 2017): 361-372. https://izlik.org/JA57LU93EN.
JAMA
1.Catarino P, Campos H. Incomplete $k$-Pell, $k$-Pell-Lucas and modified $k$-Pell numbers. Hacettepe Journal of Mathematics and Statistics. 2017;46:361–372.
MLA
Catarino, Paula, and Helena Campos. “Incomplete $k$-Pell, $k$-Pell-Lucas and Modified $k$-Pell Numbers”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 3, June 2017, pp. 361-72, https://izlik.org/JA57LU93EN.
Vancouver
1.Paula Catarino, Helena Campos. Incomplete $k$-Pell, $k$-Pell-Lucas and modified $k$-Pell numbers. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Jun. 1;46(3):361-72. Available from: https://izlik.org/JA57LU93EN