SOME q−MATRICES RELATED TO Z−TRANSFORM

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,

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[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.
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[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.

Mathematical Sciences and Applications E-Notes-Cover

ISSN: 2147-6268
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2013
Yayıncı: -

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