$\alpha$, $k$-Laplace Transform with Poly Binomial Numbers


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Authors

  • G. Britto Antony Xavier Department of Mathematics, Sacred Heart College, Tirupattur, Vellore, Taminadu, India
  • B. Govindan Department of Mathematics, Sacred Heart College, Tirupattur, Vellore, Taminadu, India
  • S. John Borg Department of Mathematics, Sacred Heart College, Tirupattur, Vellore, Taminadu, India
  • M. Meganathan Department of Mathematics, Sacred Heart College, Tirupattur, Vellore, Taminadu, India

Keywords:

Generalized Laplace Transform, Generalized difference operator, factorials and Polynomial-binomial

Abstract

In this paper, we introduce $\alpha, \ k$-Laplace Transform which is an extension of Generalized Laplace Transform (GLT) obtained by an inverse difference operator in the field of Digital Signal Processing (DSP). It provides a better platform to study the nature and functioning of relevant signal. Here we take $k$ as variable and $\alpha$ as parameter. Suitable examples with relevant diagrams which are generated and verified using MATLAB are inserted to validate our main results.

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Published

15-01-2017

How to Cite

G. Britto Antony Xavier, B. Govindan, S. John Borg, & M. Meganathan. (2017). $\alpha$, $k$-Laplace Transform with Poly Binomial Numbers. International Journal of Mathematics And Its Applications, 5(1 - A), 37–43. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/749

Issue

Vol. 5 No. 1 - A (2017)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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