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On the Fibonacci k-numbers

Citations

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Cited by:

  1. Aydın, Fügen Torunbalcı, 2018. "Dual-complex k-Fibonacci numbers," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 1-6.
  2. Kocer, E. Gokcen & Tuglu, Naim & Stakhov, Alexey, 2009. "On the m-extension of the Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1890-1906.
  3. Falcón, Sergio & Plaza, Ángel, 2009. "On k-Fibonacci sequences and polynomials and their derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1005-1019.
  4. Chung-Chuan Chen & Lin-Ling Huang, 2021. "Some New Identities for the Generalized Fibonacci Polynomials by the Q(x) Matrix," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(2), pages 1-21, April.
  5. E. Gokcen Kocer & Huriye Alsan, 2022. "Generalized Hybrid Fibonacci and Lucas p-numbers," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(4), pages 948-955, December.
  6. Bijendra Singh & Kiran Sisodiya & Farooq Ahmad, 2014. "On the Products of -Fibonacci Numbers and -Lucas Numbers," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-4, June.
  7. Younseok Choo, 2020. "Relations between Generalized Bi-Periodic Fibonacci and Lucas Sequences," Mathematics, MDPI, vol. 8(9), pages 1-10, September.
  8. Pavel Trojovský & Štěpán Hubálovský, 2020. "Some Diophantine Problems Related to k -Fibonacci Numbers," Mathematics, MDPI, vol. 8(7), pages 1-10, June.
  9. Falcón, Sergio & Plaza, Ángel, 2008. "The k-Fibonacci hyperbolic functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 409-420.
  10. Flaut, Cristina & Savin, Diana, 2019. "Some remarks regarding l-elements defined in algebras obtained by the Cayley–Dickson process," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 112-116.
  11. A. D. Godase, 2019. "Properties of k-Fibonacci and k-Lucas octonions," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(4), pages 979-998, December.
  12. Fiorenza, Alberto & Vincenzi, Giovanni, 2011. "Limit of ratio of consecutive terms for general order-k linear homogeneous recurrences with constant coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 145-152.
  13. Tan, Elif & Yilmaz, Semih & Sahin, Murat, 2016. "On a new generalization of Fibonacci quaternions," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 1-4.
  14. Falcon, Sergio & Plaza, Ángel, 2009. "k-Fibonacci sequences modulo m," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 497-504.
  15. W. M. Abd-Elhameed & N. A. Zeyada, 2022. "New formulas including convolution, connection and radicals formulas of k-Fibonacci and k-Lucas polynomials," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(4), pages 1006-1016, December.
  16. Flaut, Cristina & Savin, Diana, 2018. "Some special number sequences obtained from a difference equation of degree three," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 67-71.
  17. Fatih Yılmaz & Aybüke Ertaş & Jiteng Jia, 2022. "On Harmonic Complex Balancing Numbers," Mathematics, MDPI, vol. 11(1), pages 1-15, December.
  18. Falcón, Sergio & Plaza, Ángel, 2009. "The metallic ratios as limits of complex valued transformations," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 1-13.
  19. Falcon, Sergio, 2016. "The k–Fibonacci difference sequences," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 153-157.
  20. Natalia Bednarz, 2021. "On ( k , p )-Fibonacci Numbers," Mathematics, MDPI, vol. 9(7), pages 1-13, March.
  21. Nalli, Ayse & Haukkanen, Pentti, 2009. "On generalized Fibonacci and Lucas polynomials," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3179-3186.
  22. Catarino, Paula, 2015. "A note on h(x) − Fibonacci quaternion polynomials," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 1-5.
  23. Kilic, E. & Stakhov, A.P., 2009. "On the Fibonacci and Lucas p-numbers, their sums, families of bipartite graphs and permanents of certain matrices," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2210-2221.
  24. Ye, Xiaoli & Zhang, Zhizheng, 2017. "A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 31-37.
  25. Akbulak, Mehmet & Bozkurt, Durmuş, 2009. "On the order-m generalized Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1347-1355.
  26. Falcón, Sergio & Plaza, Ángel, 2008. "On the 3-dimensional k-Fibonacci spirals," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 993-1003.
  27. Flaut, Cristina & Shpakivskyi, Vitalii & Vlad, Elena, 2017. "Some remarks regarding h(x) – Fibonacci polynomials in an arbitrary algebra," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 32-35.
  28. Yasemin Taşyurdu, 2019. "Generalized (p,q)-Fibonacci-Like Sequences and Their Properties," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(6), pages 1-43, December.
  29. Younseok Choo, 2021. "On the Reciprocal Sums of Products of Two Generalized Bi-Periodic Fibonacci Numbers," Mathematics, MDPI, vol. 9(2), pages 1-11, January.
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