Research Article
BibTex RIS Cite

Year 2019, Volume: 7 Issue: 2, 274 - 278, 15.10.2019

Adnan Karataş , Serpil Halıcı

https://izlik.org/JA46KP72YF

Abstract

References

  • [1] Ahlfors, L. V. Complex analysis: an introduction to the theory of analyticfunctions of one complex variable. 1953.
  • [2] Alongkot Suvarnamani and Sakunna Koyram. Multiplicative pulsatedfibonacci sequences part 2. Universal Journal of Applied Mathematics 3, 5(2015), 89–93.
  • [3] Fredy D. Neeser and James L. Massey. Proper complex random processeswith applications to information theory. IEEE transactions on informationtheory 39, 4 (1993), 1293–1302.8 Serpil HALICI and Adnan KARATAS ¸
  • [4] Hirose, A. Complex-valued neural networks: theories and applications., vol. 5.2003.
  • [5] Hiroyuki Aoki and Yukio Kosugi. An image storage system using complex-valued associative memories. 15th International Conference on Pattern Recog-nition IEEE 2 (2000), 626–629.
  • [6] Jurgen Haring and AJ Han Vinck. Iterative decoding of codes over com-plex numbers for impulsive noise channels. IEEE Transactions on InformationTheory 49, 5 (2003), 1251–1260.
  • [7] Koshy, T. Fibonacci and Lucas numbers with applications. 2011.
  • [8] Krassimir T. Atanassov. Pulsating fibonacci sequences. Notes on NumberTheory and Discrete Mathematics 19, 3 (2013), 12–14.
  • [9] Margrit Betke and Leonid Gurvits. Mobile robot localization using land-marks. IEEE transactions on robotics and automation 13, 2 (1997), 251–263.
  • [10] Shikha Bhatnagar and Omprakash Sikhwal. Additive pulsating fibonaccisequences and some results. SCIREA Journal of Mathematics 1, 1 (2016), 149–160.

On Complex Pulsating Fibonacci Sequence

Year 2019, Volume: 7 Issue: 2, 274 - 278, 15.10.2019

Adnan Karataş , Serpil Halıcı

https://izlik.org/JA46KP72YF

Abstract

In this study, we defined complex pulsating Fibonacci sequence of the second kind which is a generalization of first kind. For this newly defined complex sequence we give some summation formulas. In addition, we defined multiplicative version of complex pulsating Fibonacci sequence of second kind.



Keywords

Fibonacci Numbers and generalization; Complex numbers

References

  • [1] Ahlfors, L. V. Complex analysis: an introduction to the theory of analyticfunctions of one complex variable. 1953.
  • [2] Alongkot Suvarnamani and Sakunna Koyram. Multiplicative pulsatedfibonacci sequences part 2. Universal Journal of Applied Mathematics 3, 5(2015), 89–93.
  • [3] Fredy D. Neeser and James L. Massey. Proper complex random processeswith applications to information theory. IEEE transactions on informationtheory 39, 4 (1993), 1293–1302.8 Serpil HALICI and Adnan KARATAS ¸
  • [4] Hirose, A. Complex-valued neural networks: theories and applications., vol. 5.2003.
  • [5] Hiroyuki Aoki and Yukio Kosugi. An image storage system using complex-valued associative memories. 15th International Conference on Pattern Recog-nition IEEE 2 (2000), 626–629.
  • [6] Jurgen Haring and AJ Han Vinck. Iterative decoding of codes over com-plex numbers for impulsive noise channels. IEEE Transactions on InformationTheory 49, 5 (2003), 1251–1260.
  • [7] Koshy, T. Fibonacci and Lucas numbers with applications. 2011.
  • [8] Krassimir T. Atanassov. Pulsating fibonacci sequences. Notes on NumberTheory and Discrete Mathematics 19, 3 (2013), 12–14.
  • [9] Margrit Betke and Leonid Gurvits. Mobile robot localization using land-marks. IEEE transactions on robotics and automation 13, 2 (1997), 251–263.
  • [10] Shikha Bhatnagar and Omprakash Sikhwal. Additive pulsating fibonaccisequences and some results. SCIREA Journal of Mathematics 1, 1 (2016), 149–160.
There are 10 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Adnan Karataş

Serpil Halıcı

Submission Date April 9, 2018
Acceptance Date September 30, 2019
Publication Date October 15, 2019
IZ https://izlik.org/JA46KP72YF
Published in Issue Year 2019 Volume: 7 Issue: 2

Cite

APA Karataş, A., & Halıcı, S. (2019). On Complex Pulsating Fibonacci Sequence. Konuralp Journal of Mathematics, 7(2), 274-278. https://izlik.org/JA46KP72YF
AMA 1.Karataş A, Halıcı S. On Complex Pulsating Fibonacci Sequence. Konuralp J. Math. 2019;7(2):274-278. https://izlik.org/JA46KP72YF
Chicago Karataş, Adnan, and Serpil Halıcı. 2019. “On Complex Pulsating Fibonacci Sequence”. Konuralp Journal of Mathematics 7 (2): 274-78. https://izlik.org/JA46KP72YF.
EndNote Karataş A, Halıcı S (October 1, 2019) On Complex Pulsating Fibonacci Sequence. Konuralp Journal of Mathematics 7 2 274–278.
IEEE [1]A. Karataş and S. Halıcı, “On Complex Pulsating Fibonacci Sequence”, Konuralp J. Math., vol. 7, no. 2, pp. 274–278, Oct. 2019, [Online]. Available: https://izlik.org/JA46KP72YF
ISNAD Karataş, Adnan - Halıcı, Serpil. “On Complex Pulsating Fibonacci Sequence”. Konuralp Journal of Mathematics 7/2 (October 1, 2019): 274-278. https://izlik.org/JA46KP72YF.
JAMA 1.Karataş A, Halıcı S. On Complex Pulsating Fibonacci Sequence. Konuralp J. Math. 2019;7:274–278.
MLA Karataş, Adnan, and Serpil Halıcı. “On Complex Pulsating Fibonacci Sequence”. Konuralp Journal of Mathematics, vol. 7, no. 2, Oct. 2019, pp. 274-8, https://izlik.org/JA46KP72YF.
Vancouver 1.Adnan Karataş, Serpil Halıcı. On Complex Pulsating Fibonacci Sequence. Konuralp J. Math. [Internet]. 2019 Oct. 1;7(2):274-8. Available from: https://izlik.org/JA46KP72YF
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.