Araştırma Makalesi

On (p,q)-Rogers-Szegö matrices

Cilt: 10 Sayı: 1 25 Haziran 2020
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On (p,q)-Rogers-Szegö matrices

Öz

    In the present article, we have discussed the (p,q)-numbers, the Rogers-Szegő polynomial and the (p,q)-Rogers-Szegő polynomial and have defined the (p,q)-matrices and the (p,q)-Rogers-Szegő matrices. We have presented some algebraic properties of these matrices and have proved them. In particular, we have obtained the factorization of these matrices, their inverse matrices, as well as the matrix representations of the (p,q)-numbers, the Rogers-Szegő polynomials and the (p,q)-Rogers-Szegő polynomials.


Anahtar Kelimeler

Kaynakça

  1. [1] Burban, I.M., Klimyk, A.U., P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups, Integral Transforms and Special Functions, 2, 15-36, 1994.
  2. [2] Chaichian, M., Demichev, A., Introduction to Quantum Groups, World Scientific, Singapore, 1996.
  3. [3] Chari, V., Pressley, A., A Guide to Quantum Groups, Cambridge Univ. Press, Cambridge, 1994.
  4. [4] Chakrabarti, R., Jagannathan, R.A., (p, q)-oscillator realization of two-parameter quantum algebras, Journal of Physics A: Mathematical and General, 24, L711, 1991.
  5. [5] Jannussis, A., Brodimas, G., Mignani, L., Quantum groups and Lie-admissible time evolution, Journal of Physics A: Mathematical and General, 24(14), L775, 1991.
  6. [6] Arik, M., Demircan, E., Turgut, E., Ekinci, L., Mungan, M., Fibonacci oscillators, Zeitschrift für Physik C Particles and Fields, 55(1), 89-95, 1992.
  7. [7] Katriel, J., Kibler, M., Normal ordering for deformed boson operators and operator-valued deformed Stirling numbers, Journal of Physics A: Mathematical and General, 25(9), 2683, 1992.
  8. [8] Jagannathan, R., Srinivasa Rao, K., Two-parameter quantum algebras, twin-basic numbers, and associated generalized hypergeometric series, arXiv:math/0602613, 2006.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

25 Haziran 2020

Gönderilme Tarihi

28 Ocak 2019

Kabul Tarihi

29 Nisan 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 10 Sayı: 1

Kaynak Göster

APA
Şahin, A. (2020). On (p,q)-Rogers-Szegö matrices. Adıyaman University Journal of Science, 10(1), 285-294. https://doi.org/10.37094/adyujsci.518782
AMA
1.Şahin A. On (p,q)-Rogers-Szegö matrices. ADYU J SCI. 2020;10(1):285-294. doi:10.37094/adyujsci.518782
Chicago
Şahin, Adem. 2020. “On (p,q)-Rogers-Szegö matrices”. Adıyaman University Journal of Science 10 (1): 285-94. https://doi.org/10.37094/adyujsci.518782.
EndNote
Şahin A (01 Haziran 2020) On (p,q)-Rogers-Szegö matrices. Adıyaman University Journal of Science 10 1 285–294.
IEEE
[1]A. Şahin, “On (p,q)-Rogers-Szegö matrices”, ADYU J SCI, c. 10, sy 1, ss. 285–294, Haz. 2020, doi: 10.37094/adyujsci.518782.
ISNAD
Şahin, Adem. “On (p,q)-Rogers-Szegö matrices”. Adıyaman University Journal of Science 10/1 (01 Haziran 2020): 285-294. https://doi.org/10.37094/adyujsci.518782.
JAMA
1.Şahin A. On (p,q)-Rogers-Szegö matrices. ADYU J SCI. 2020;10:285–294.
MLA
Şahin, Adem. “On (p,q)-Rogers-Szegö matrices”. Adıyaman University Journal of Science, c. 10, sy 1, Haziran 2020, ss. 285-94, doi:10.37094/adyujsci.518782.
Vancouver
1.Adem Şahin. On (p,q)-Rogers-Szegö matrices. ADYU J SCI. 01 Haziran 2020;10(1):285-94. doi:10.37094/adyujsci.518782