SOME q−MATRICES RELATED TO Z−TRANSFORM

Fatma Yesıl; Naim Tuglu; Can Kızılateş

doi:10.36753/mathenot.421203

EN

SOME q−MATRICES RELATED TO Z−TRANSFORM

Abstract

In a recent paper, Claudio de J. Pita Ruiz V. introduced number arrays of coefficients. In this paper, we study the Z−transform of a special q−number array. Our goal is to bring together the concepts of convolutions and special q−matrices.

Keywords

q−binomial coefficient,q−Pascal matrix,q−Lucas matrix,Z−transform

References

[1] Ernst, T., q−Pascal and q−Bernoulli matrices, an Umbral approach. Technical Report, Uppsala University, 2008.
[2] Kac, V., Cheung P., Quantum Calculus. Springer, New York, 2002.
[3] Jury, E. I., Theory and Application of the Z-Transform Method. Krieger Publishing Company, New York, 1973.
[4] Pita R.V., Claudio de J., Some Number Arrays Related to Pascal and Lucas Triangles. J. Integer Seq., 16 2013.
[5] Vretblad A., Fourier analysis and its applications. Springer-Verlag New York, 2003.
[6] Weisstein, Eric W. Z-Transform. From MathWorld-A Wolfram Web Resource, available at http://mathworld.wolfram.com/Z-Transform.html.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Fatma Yesıl

Naim Tuglu

Can Kızılateş

Publication Date

May 15, 2015

Submission Date

January 1, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 1

DOI

https://doi.org/10.36753/mathenot.421203

IZ

https://izlik.org/JA58AG74SX

APA

Yesıl, F., Tuglu, N., & Kızılateş, C. (2015). SOME q−MATRICES RELATED TO Z−TRANSFORM. Mathematical Sciences and Applications E-Notes, 3(1), 18-24. https://doi.org/10.36753/mathenot.421203

AMA

1.Yesıl F, Tuglu N, Kızılateş C. SOME q−MATRICES RELATED TO Z−TRANSFORM. Math. Sci. Appl. E-Notes. 2015;3(1):18-24. doi:10.36753/mathenot.421203

Chicago

Yesıl, Fatma, Naim Tuglu, and Can Kızılateş. 2015. “SOME Q−MATRICES RELATED TO Z−TRANSFORM”. Mathematical Sciences and Applications E-Notes 3 (1): 18-24. https://doi.org/10.36753/mathenot.421203.

EndNote

Yesıl F, Tuglu N, Kızılateş C (May 1, 2015) SOME q−MATRICES RELATED TO Z−TRANSFORM. Mathematical Sciences and Applications E-Notes 3 1 18–24.

IEEE

[1]F. Yesıl, N. Tuglu, and C. Kızılateş, “SOME q−MATRICES RELATED TO Z−TRANSFORM”, Math. Sci. Appl. E-Notes, vol. 3, no. 1, pp. 18–24, May 2015, doi: 10.36753/mathenot.421203.

ISNAD

Yesıl, Fatma - Tuglu, Naim - Kızılateş, Can. “SOME Q−MATRICES RELATED TO Z−TRANSFORM”. Mathematical Sciences and Applications E-Notes 3/1 (May 1, 2015): 18-24. https://doi.org/10.36753/mathenot.421203.

JAMA

1.Yesıl F, Tuglu N, Kızılateş C. SOME q−MATRICES RELATED TO Z−TRANSFORM. Math. Sci. Appl. E-Notes. 2015;3:18–24.

MLA

Yesıl, Fatma, et al. “SOME Q−MATRICES RELATED TO Z−TRANSFORM”. Mathematical Sciences and Applications E-Notes, vol. 3, no. 1, May 2015, pp. 18-24, doi:10.36753/mathenot.421203.

Vancouver

1.Fatma Yesıl, Naim Tuglu, Can Kızılateş. SOME q−MATRICES RELATED TO Z−TRANSFORM. Math. Sci. Appl. E-Notes. 2015 May 1;3(1):18-24. doi:10.36753/mathenot.421203