Applications of the Z transformation in calculating sum of a series
DOI:
https://doi.org/10.56764/hpu2.jos.2023.2.3.13-18Abstract
The Z transformation has many applications in Mathematics, especially in solving difference equations to help handle discrete data models. This article provides one more application of the Z transformation, which is the summation of a series. The author through the research method of theory development from some properties of the Z transformation to obtain the result which is a theorem about the formula for the sum of a series, with the proof attached. From there, apply the theorem together with the Z transformation to calculate the sum of some series in specific problems. Thus, the problem of calculating the sum of the series has one more method of solving, as well as expanding the application of the Z transformation in the field of Mathematics, especially analysis.
References
[1] B. Davies, Integral transforms and their applications, Third edition, Springer, 2001.
[2] L. Debnath and D. Bhatta, Integral transforms and their applications, Second edition, Chapman and Hall/CRC, 2007.
[3] A. C. Grove, An introduction to the Laplace transform and the z transform, Prentice Hall, 1991.
[4] E. I. Jury, Theory and application of the z-transform method, Robert E. Krieger, New York, 1964.
[5] A. D. Poularikas (Editor - in - chief), The transforms and applications handbook, Second edition, Boca Raton CRC Press LLC, 2000, doi: 10.1201/9781420036756
https://doi.org/10.1201/9781420036756
Downloads
Published
How to Cite
Volume and Issue
Section
Copyright and License
Copyright (c) 2023 Huyen-My Le Thi
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
