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Year 2018, Volume: 67 Issue: 2, 82 - 88, 01.08.2018
https://izlik.org/JA99LR84RH

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
https://izlik.org/JA99LR84RH

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

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.

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Other ID JA89HH24ZK
Authors

Dursun Taşcı This is me

Submission Date August 1, 2018
Publication Date August 1, 2018
IZ https://izlik.org/JA99LR84RH
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. https://izlik.org/JA99LR84RH
AMA 1.Taşcı D. GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(2):82-88. https://izlik.org/JA99LR84RH
Chicago Taşcı, Dursun. 2018. “GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 (2): 82-88. https://izlik.org/JA99LR84RH.
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 [1]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, Aug. 2018, [Online]. Available: https://izlik.org/JA99LR84RH
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 1, 2018): 82-88. https://izlik.org/JA99LR84RH.
JAMA 1.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, Aug. 2018, pp. 82-88, https://izlik.org/JA99LR84RH.
Vancouver 1.Dursun Taşcı. GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. [Internet]. 2018 Aug. 1;67(2):82-8. Available from: https://izlik.org/JA99LR84RH

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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