SOME q−MATRICES RELATED TO Z−TRANSFORM

Fatma Yesıl; Naim Tuglu; Can Kızılateş

doi:10.36753/mathenot.421203

Research Article

Year 2015, Volume: 3 Issue: 1, 18 - 24, 15.05.2015

Fatma Yesıl Naim Tuglu Can Kızılateş

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

Abstract

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.

SOME q−MATRICES RELATED TO Z−TRANSFORM

Year 2015, Volume: 3 Issue: 1, 18 - 24, 15.05.2015

Fatma Yesıl Naim Tuglu Can Kızılateş

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

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.

There are 6 citations in total.

Details

Primary Language	English
Subjects	Engineering
Journal Section	Articles
Authors	Fatma Yesıl Naim Tuglu Can Kızılateş
Publication Date	May 15, 2015
Submission Date	January 1, 2014
Published in Issue	Year 2015 Volume: 3 Issue: 1

Cite

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	Yesıl F, Tuglu N, Kızılateş C. SOME q−MATRICES RELATED TO Z−TRANSFORM. Math. Sci. Appl. E-Notes. May 2015;3(1):18-24. doi:10.36753/mathenot.421203
Chicago	Yesıl, Fatma, Naim Tuglu, and Can Kızılateş. “SOME q−MATRICES RELATED TO Z−TRANSFORM”. Mathematical Sciences and Applications E-Notes 3, no. 1 (May 2015): 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	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, 2015, doi: 10.36753/mathenot.421203.
ISNAD	Yesıl, Fatma et al. “SOME q−MATRICES RELATED TO Z−TRANSFORM”. Mathematical Sciences and Applications E-Notes 3/1 (May 2015), 18-24. https://doi.org/10.36753/mathenot.421203.
JAMA	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, 2015, pp. 18-24, doi:10.36753/mathenot.421203.
Vancouver	Yesıl F, Tuglu N, Kızılateş C. SOME q−MATRICES RELATED TO Z−TRANSFORM. Math. Sci. Appl. E-Notes. 2015;3(1):18-24.