On Complex Pulsating Fibonacci Sequence

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

Adnan Karataş Serpil Halıcı

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.