À propos de cet article

Citez

B. Kuloglu, E. Özkan, On Generalized (k,r)-Gauss Pell Numbers, Journal of Science and Arts 3(56) (2021), 617-624, DOI: 10.46939/J.Sci.Arts-21.3-a02. Open DOISearch in Google Scholar

S. Çelik, I. Durkan, and E. Özkan, New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers, Chaos, Solitons ---amp--- Fractals 150 (2021), 111173. Search in Google Scholar

Ö. Deveci, S. Hulku, and A. G. Shannon, On the co-complex-type k-Fibonacci numbers, Chaos, Solitons ---amp--- Fractals 153(2) (2021), 111522. Search in Google Scholar

R. Florez, N. McAnally, and A. Mukherjee, Identities for the generalized Fibonacci polynomials,, INTEGERS 18B (2018). Search in Google Scholar

E. Özkan, B. Kuloglu, On the new Narayana polynomials, the Gauss Narayana numbers and their polynomials, Asian-European Journal of Mathematics 14(6) (2021) 2150100. Search in Google Scholar

T. Koshy, New Fibonacci and Lucas identities,, The Mathematical Gazette 82481-184 (1998). Search in Google Scholar

T. Koshy, Fibonacci and Lucas numbers with applications,, Wiley-Interscience Publishing (2001), Canada. Search in Google Scholar

E. P. Miles, Generalized Fibonacci numbers and associated matrices,, The American Mathematically Monthly 67(8) (1960), 745-752. Search in Google Scholar

E. Özkan, 3-Step Fibonacci Sequence in Nilpotent Groups, Applied Mathematics and Computatiton 144 (2003), 517-527. Search in Google Scholar

E. Özkan, N. Ş. Yilmaz, and A. W loch, On F3(k,n)-numbers of the Fibonacci type, Bol. Soc. Mat. Mex. 27,77 (2021), doi.org/10.1007/s40590-021-00381-9. Search in Google Scholar

E. Özkan, I. Altun, and A. Göçer, On Relationship among A New Family of k-Fibonacci, k-Lucas Numbers, Fibonacci and Lucas Numbers, Chiang Mai Journal of Science 44 (2017), 1744-1750. Search in Google Scholar

E. Özkan, Í. Altun, Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials, Communications in Algebra 47 (2019), 4020-40. Search in Google Scholar

E. Özkan, M. Taştan, A new Families of Gauss k-Jacobsthal and Gauss k-Jacobsthal-Lucas Numbers and Their Polynomials, Journal of Science and Arts 4(53) (2020). Search in Google Scholar

A. G. Shannon, Ö. Deveci, A note on the coefficient array of a generalized Fibonacci polynomial, Notes on Number Theory and Discrete Mathematics 26(4) (2020), 206-212,DOI: 10.7546/nntdm.2020.26.4.206-212. Open DOISearch in Google Scholar

N. J. A. Sloane, The on-line encyclopedia of integer sequences, https://oeis.org/. Accessed 10 May 2021. Search in Google Scholar

D. Strza lka, W. S lawomir, and W. Andrzej, Distance Fibonacci Polynomials by Graph Methods, Symmetry, 13(11) (2021), 2075, DOI://doi.org/10.3390/sym13112075. Search in Google Scholar

M. Taştan, E. Özkan, and A. G. Shannon, The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials, Notes Number Theory Discret. Math 27 (2021), 148-158. Search in Google Scholar

B. Urszula, M. Wo lowiec-Musia l, Distance Fibonacci Polynomials, Part II, Symmetry 13(9) (2021), 1723, DOI://doi.org/10.3390/sym13091723. Search in Google Scholar

S. Vajda, Fibonacci ---amp--- Lucas numbers, and golden section, Theory and Applications (1989) Ellis Horwood, Chichester. Search in Google Scholar

I. W loch, A. W loch, On some multinomial sums related to the Fibonacci type numbers, Tatra Mt. Math. Publ 77 (2020), 99-108. Search in Google Scholar

Ganie, A. H., Özkan, E., Uysal, M. and Akhter, A. On New Polynomial Sequences Constructed to Each Vertex in an n-Gon, Discrete Dynamics in Nature and Society (2022), 2910678. Search in Google Scholar

Abouelregal, A.E., Marin, M., The size-dependent thermoelastic vibrations of nanobeams subjected to harmonic excitation and rectified sine wave heating, Mathematics 8(7) (2020), Art. No. 1128. Search in Google Scholar

Abouelregal, A.E., Marin, M., The response of nanobeams with temperature-dependent properties using state-space method via modified couple stress theory, Symmetry 12(8) (2020), Art. No. 1276. Search in Google Scholar

Scutaru, ML, et al., New analytical method based on dynamic response of planar mechanical elastic systems, Boundary Value Problems Vol. 2020, No. 1, Art. No. 104. Search in Google Scholar

eISSN:
1844-0835
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, General Mathematics