q -Riordan array for q -Pascal matrix and its inverse matrix

YEŞİL BARAN, FATMA; TUĞLU, NAİM; KOÇER, E. Gökçen; DZIEMIANCZUK, Maciej

q -Riordan array for q -Pascal matrix and its inverse matrix

NAİM TUĞLU, (Gazi Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

FATMA YEŞİL BARAN, (Amasya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Amasya, Türkiye)

Maciej DZIEMIANCZUK, (Institute of Informatics, University of Gda´nsk Gda´nsk, Poland)

E. Gökçen KOÇER (Konya Necmettin Erbakan Üniversitesi, Eğitim Fakültesi Meram, Konya, Türkiye)

Turkish Journal of Mathematics

6 0

Yıl: 2016 Cilt: 40 Sayı: 5 Sayfa Aralığı: 1038 - 1048 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

q -Riordan array for q -Pascal matrix and its inverse matrix

Öz:

In this paper, we prove the q -analogue of the fundamental theorem of Riordan arrays. In particular, by defining two new binary operations ∗q and ∗1/q , we obtain a q -analogue of the Riordan representation of the q -Pascal matrix. In addition, by aid of the q -Lagrange expansion formula we get q -Riordan representation for its inverse matrix.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	TUĞLU N, YEŞİL BARAN F, DZIEMIANCZUK M, KOÇER E (2016). q -Riordan array for q -Pascal matrix and its inverse matrix. , 1038 - 1048.
Chicago	TUĞLU NAİM,YEŞİL BARAN FATMA,DZIEMIANCZUK Maciej,KOÇER E. Gökçen q -Riordan array for q -Pascal matrix and its inverse matrix. (2016): 1038 - 1048.
MLA	TUĞLU NAİM,YEŞİL BARAN FATMA,DZIEMIANCZUK Maciej,KOÇER E. Gökçen q -Riordan array for q -Pascal matrix and its inverse matrix. , 2016, ss.1038 - 1048.
AMA	TUĞLU N,YEŞİL BARAN F,DZIEMIANCZUK M,KOÇER E q -Riordan array for q -Pascal matrix and its inverse matrix. . 2016; 1038 - 1048.
Vancouver	TUĞLU N,YEŞİL BARAN F,DZIEMIANCZUK M,KOÇER E q -Riordan array for q -Pascal matrix and its inverse matrix. . 2016; 1038 - 1048.
IEEE	TUĞLU N,YEŞİL BARAN F,DZIEMIANCZUK M,KOÇER E "q -Riordan array for q -Pascal matrix and its inverse matrix." , ss.1038 - 1048, 2016.
ISNAD	TUĞLU, NAİM vd. "q -Riordan array for q -Pascal matrix and its inverse matrix". (2016), 1038-1048.

APA	TUĞLU N, YEŞİL BARAN F, DZIEMIANCZUK M, KOÇER E (2016). q -Riordan array for q -Pascal matrix and its inverse matrix. Turkish Journal of Mathematics, 40(5), 1038 - 1048.
Chicago	TUĞLU NAİM,YEŞİL BARAN FATMA,DZIEMIANCZUK Maciej,KOÇER E. Gökçen q -Riordan array for q -Pascal matrix and its inverse matrix. Turkish Journal of Mathematics 40, no.5 (2016): 1038 - 1048.
MLA	TUĞLU NAİM,YEŞİL BARAN FATMA,DZIEMIANCZUK Maciej,KOÇER E. Gökçen q -Riordan array for q -Pascal matrix and its inverse matrix. Turkish Journal of Mathematics, vol.40, no.5, 2016, ss.1038 - 1048.
AMA	TUĞLU N,YEŞİL BARAN F,DZIEMIANCZUK M,KOÇER E q -Riordan array for q -Pascal matrix and its inverse matrix. Turkish Journal of Mathematics. 2016; 40(5): 1038 - 1048.
Vancouver	TUĞLU N,YEŞİL BARAN F,DZIEMIANCZUK M,KOÇER E q -Riordan array for q -Pascal matrix and its inverse matrix. Turkish Journal of Mathematics. 2016; 40(5): 1038 - 1048.
IEEE	TUĞLU N,YEŞİL BARAN F,DZIEMIANCZUK M,KOÇER E "q -Riordan array for q -Pascal matrix and its inverse matrix." Turkish Journal of Mathematics, 40, ss.1038 - 1048, 2016.
ISNAD	TUĞLU, NAİM vd. "q -Riordan array for q -Pascal matrix and its inverse matrix". Turkish Journal of Mathematics 40/5 (2016), 1038-1048.