GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES

Dursun Taşcı

Year 2018, Volume: 67 Issue: 2, 82 - 88, 01.08.2018

Dursun Taşcı

Abstract

References

Atassanov, K., Dimitriv, D. and Shannon, A., A remark on functions and Pell-Padovan’s Sequence, Notes on Number Theory and Discrete Mathematics 15(2) (2009), 1–11.
Berzsenyi, Gaussian Fibonacci numbers, The Fibonacci Quarterly,15 (1977) 223-236.
Horadam, A.F., Complex Fibonacci Numbers and Fibonacci Quaternions, American Mathe- matics Monthly 70 (1963) 289-291.
Kritsana, S., Matrices formula for Padovan and Perrin Sequences, Applied Mathematics Sci- ences, 7(142) (2013) 7093-7096.
Shannon, A.G., Anderson, P.G. and Horadam, A.F., Van der Loan numbers, International Journal of Mathematics Education in Science & Technology 37(7) (2006) 825-831.
Shannon, A.G., Anderson, A. F. and Anderson, P.R., The Auxiliary Equation Associated with the Plastic Numbers, Notes on Number Theory and Discrete Mathematics 12(1) (2006) 1-12.
Voet, C., The Poetics of order: Dom Hans Van der Loan’s numbers, Architectonic Space, ARQ.16 (2012) 137-154. Current address : Gazi University Faculty of Science
Department of Mathematics 06500
Teknikokullar-Ankara TURKEY E-mail address : dtasci@gazi.edu.tr ORCID Address:
http://orcid.org/0000-0001-8357-4875

GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES

Year 2018, Volume: 67 Issue: 2, 82 - 88, 01.08.2018

Dursun Taşcı

Abstract

In this paper, we extend Padovan and Pell- Padovan numbers toGaussian Padovan and Gaussian Pell-Padovan numbers, respectively. Moreover we obtain Binet-like formulas,generating functions and some identitiesrelated with Gaussian Padovan numbers and Gaussian Pell-Padovan numbers

Keywords

Padovan numbers, Pell-Padovan numbers, Gaussian Padovan numbers, Gaussian Pell-Padovan numbers

References

Atassanov, K., Dimitriv, D. and Shannon, A., A remark on functions and Pell-Padovan’s Sequence, Notes on Number Theory and Discrete Mathematics 15(2) (2009), 1–11.
Berzsenyi, Gaussian Fibonacci numbers, The Fibonacci Quarterly,15 (1977) 223-236.
Horadam, A.F., Complex Fibonacci Numbers and Fibonacci Quaternions, American Mathe- matics Monthly 70 (1963) 289-291.
Kritsana, S., Matrices formula for Padovan and Perrin Sequences, Applied Mathematics Sci- ences, 7(142) (2013) 7093-7096.
Shannon, A.G., Anderson, P.G. and Horadam, A.F., Van der Loan numbers, International Journal of Mathematics Education in Science & Technology 37(7) (2006) 825-831.
Shannon, A.G., Anderson, A. F. and Anderson, P.R., The Auxiliary Equation Associated with the Plastic Numbers, Notes on Number Theory and Discrete Mathematics 12(1) (2006) 1-12.
Voet, C., The Poetics of order: Dom Hans Van der Loan’s numbers, Architectonic Space, ARQ.16 (2012) 137-154. Current address : Gazi University Faculty of Science
Department of Mathematics 06500
Teknikokullar-Ankara TURKEY E-mail address : dtasci@gazi.edu.tr ORCID Address:
http://orcid.org/0000-0001-8357-4875

There are 10 citations in total.

Details

Other ID	JA89HH24ZK
Journal Section	Research Article
Authors	Dursun Taşcı This is me
Publication Date	August 1, 2018
Submission Date	August 1, 2018
Published in Issue	Year 2018 Volume: 67 Issue: 2

Cite

APA	Taşcı, D. (2018). GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(2), 82-88.
AMA	Taşcı D. GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2018;67(2):82-88.
Chicago	Taşcı, Dursun. “GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, no. 2 (August 2018): 82-88.
EndNote	Taşcı D (August 1, 2018) GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 2 82–88.
IEEE	D. Taşcı, “GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 2, pp. 82–88, 2018.
ISNAD	Taşcı, Dursun. “GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/2 (August 2018), 82-88.
JAMA	Taşcı D. GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:82–88.
MLA	Taşcı, Dursun. “GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 2, 2018, pp. 82-88.
Vancouver	Taşcı D. GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(2):82-8.