Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2024, Cilt: 7 Sayı: 2, 71 - 79
https://doi.org/10.33434/cams.1444712

Öz

Kaynakça

  • [1] A. F. Horadam, Special properties of the sequenceWn(a;b; p;q) , Fibonacci Quart., 5(5) (1967), 424-434.
  • [2] A. F. Horadam, Basic properties of a certain generalized sequence of numbers, 3(3) (1965), Fibonacci Quart., 161-176.
  • [3] A. F. Horadam, A generalized Fibonacci sequence, The American Mathematical Monthly, 68(5) (1961), 455-459.
  • [4] Z. Akyuz, S. Halici, On some combinatorial identities involving the terms of generalized Fibonacci and Lucas sequences, Hacet. J. Math. Stat., 42(4) (2013), 431-435.
  • [5] Z. Akyuz, S. Halici, Some identities deriving from the nth power of a special matrix, Adv. Difference Equ., (2012(1)), 1-6.
  • [6] C. K. Cook, Some sums related to sums of Oresme numbers, In Applications of Fibonacci Numbers: Volume 9: Proceedings of The Tenth International Research Conference on Fibonacci Numbers and Their Applications, (2004), 87-99.
  • [7] James Mc. Laughlin, Combinatorial identities deriving from the nth power of a 2x2 matrix, Integers, 4 (2004), A19.
  • [8] N. Oresme, Quaestiones super geometriam Euclidis, Brill Archive, 3 (1961).
  • [9] A. F. Horadam, Oresme Numbers, Fibonacci Quart., 12(3) (1974), 267- 271.
  • [10] G. Y. Senturk, N. Gurses, S. Yuce, A new look on Oresme numbers: dual-generalized complex component extension, In Conference Proceeding Science and Technology, 1(1) (2018), 254-265.
  • [11] G. Cerda Morales, Oresme polynomials and their derivatives, arXiv preprint arXiv:1904.01165, (2019).
  • [12] S. Halici, E. Sayin, Z. B. Gur, k- Oresme numbers and k- Oresme numbers with negative indices, ICMASE (2022), 211-223.
  • [13] S. Halici, E. Sayin, On some k􀀀 Oresme hybrid numbers, Util. Math., 120, (2023), 1-11.
  • [14] S. Halici, Z. B. Gur, E. Sayin, k- Oresme polynomials and their derivatives, ICMASE, (2022), 201-210.
  • [15] S. Halici, Z. B. Gur, On some derivatives of k- Oresme polynomials, Bulletin of IMVI, 13(1) (2023), 41-50.
  • [16] Y. Soykan, A study on generalized p- Oresme numbers, Asian Journal of Advanced Research and Reports, 15(7) (2021), 1-25.

On Some k-Oresme Polynomials with Negative Indices

Yıl 2024, Cilt: 7 Sayı: 2, 71 - 79
https://doi.org/10.33434/cams.1444712

Öz

In this study, \textit{k-} Oresme polynomials with negative indices, which are the generalization of Oresme polynomials, were examined and defined. By examining the algebraic properties of recently defined polynomial sequences, some important identities were given. The matrices of negative indices \textit{k-} Oresme polynomials was defined. Some sum formulas were given according to this definition.

Teşekkür

Dear editor, thank your attention.

Kaynakça

  • [1] A. F. Horadam, Special properties of the sequenceWn(a;b; p;q) , Fibonacci Quart., 5(5) (1967), 424-434.
  • [2] A. F. Horadam, Basic properties of a certain generalized sequence of numbers, 3(3) (1965), Fibonacci Quart., 161-176.
  • [3] A. F. Horadam, A generalized Fibonacci sequence, The American Mathematical Monthly, 68(5) (1961), 455-459.
  • [4] Z. Akyuz, S. Halici, On some combinatorial identities involving the terms of generalized Fibonacci and Lucas sequences, Hacet. J. Math. Stat., 42(4) (2013), 431-435.
  • [5] Z. Akyuz, S. Halici, Some identities deriving from the nth power of a special matrix, Adv. Difference Equ., (2012(1)), 1-6.
  • [6] C. K. Cook, Some sums related to sums of Oresme numbers, In Applications of Fibonacci Numbers: Volume 9: Proceedings of The Tenth International Research Conference on Fibonacci Numbers and Their Applications, (2004), 87-99.
  • [7] James Mc. Laughlin, Combinatorial identities deriving from the nth power of a 2x2 matrix, Integers, 4 (2004), A19.
  • [8] N. Oresme, Quaestiones super geometriam Euclidis, Brill Archive, 3 (1961).
  • [9] A. F. Horadam, Oresme Numbers, Fibonacci Quart., 12(3) (1974), 267- 271.
  • [10] G. Y. Senturk, N. Gurses, S. Yuce, A new look on Oresme numbers: dual-generalized complex component extension, In Conference Proceeding Science and Technology, 1(1) (2018), 254-265.
  • [11] G. Cerda Morales, Oresme polynomials and their derivatives, arXiv preprint arXiv:1904.01165, (2019).
  • [12] S. Halici, E. Sayin, Z. B. Gur, k- Oresme numbers and k- Oresme numbers with negative indices, ICMASE (2022), 211-223.
  • [13] S. Halici, E. Sayin, On some k􀀀 Oresme hybrid numbers, Util. Math., 120, (2023), 1-11.
  • [14] S. Halici, Z. B. Gur, E. Sayin, k- Oresme polynomials and their derivatives, ICMASE, (2022), 201-210.
  • [15] S. Halici, Z. B. Gur, On some derivatives of k- Oresme polynomials, Bulletin of IMVI, 13(1) (2023), 41-50.
  • [16] Y. Soykan, A study on generalized p- Oresme numbers, Asian Journal of Advanced Research and Reports, 15(7) (2021), 1-25.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Temel Matematik (Diğer)
Bölüm Articles
Yazarlar

Elifcan Sayın 0000-0001-5602-7681

Serpil Halıcı 0000-0002-8071-0437

Erken Görünüm Tarihi 5 Haziran 2024
Yayımlanma Tarihi
Gönderilme Tarihi 28 Şubat 2024
Kabul Tarihi 28 Nisan 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 7 Sayı: 2

Kaynak Göster

APA Sayın, E., & Halıcı, S. (2024). On Some k-Oresme Polynomials with Negative Indices. Communications in Advanced Mathematical Sciences, 7(2), 71-79. https://doi.org/10.33434/cams.1444712
AMA Sayın E, Halıcı S. On Some k-Oresme Polynomials with Negative Indices. Communications in Advanced Mathematical Sciences. Haziran 2024;7(2):71-79. doi:10.33434/cams.1444712
Chicago Sayın, Elifcan, ve Serpil Halıcı. “On Some K-Oresme Polynomials With Negative Indices”. Communications in Advanced Mathematical Sciences 7, sy. 2 (Haziran 2024): 71-79. https://doi.org/10.33434/cams.1444712.
EndNote Sayın E, Halıcı S (01 Haziran 2024) On Some k-Oresme Polynomials with Negative Indices. Communications in Advanced Mathematical Sciences 7 2 71–79.
IEEE E. Sayın ve S. Halıcı, “On Some k-Oresme Polynomials with Negative Indices”, Communications in Advanced Mathematical Sciences, c. 7, sy. 2, ss. 71–79, 2024, doi: 10.33434/cams.1444712.
ISNAD Sayın, Elifcan - Halıcı, Serpil. “On Some K-Oresme Polynomials With Negative Indices”. Communications in Advanced Mathematical Sciences 7/2 (Haziran 2024), 71-79. https://doi.org/10.33434/cams.1444712.
JAMA Sayın E, Halıcı S. On Some k-Oresme Polynomials with Negative Indices. Communications in Advanced Mathematical Sciences. 2024;7:71–79.
MLA Sayın, Elifcan ve Serpil Halıcı. “On Some K-Oresme Polynomials With Negative Indices”. Communications in Advanced Mathematical Sciences, c. 7, sy. 2, 2024, ss. 71-79, doi:10.33434/cams.1444712.
Vancouver Sayın E, Halıcı S. On Some k-Oresme Polynomials with Negative Indices. Communications in Advanced Mathematical Sciences. 2024;7(2):71-9.

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