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Volume 33, Issue 3
Sumudu Transform in Bicomplex Space and Its Applications

Ritu Agarwal, Mahesh Puri Goswami & Ravi P. Agarwal

Ann. Appl. Math., 33 (2017), pp. 239-253.

Published online: 2022-06

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  • Abstract

In this paper, we define Sumudu transform with convergence conditions in bicomplex space. Also, we derive some of its basic properties and its inverse. Applications of bicomplex Sumudu transform are illustrated to find the solution of differential equation of bicomplex-valued functions and find the solution for Cartesian transverse electric magnetic (TEM) waves in homogeneous space.

  • Keywords

Sumudu transform, bicomplex numbers, bicomplex functions and bicomplex Laplace transform.

  • AMS Subject Headings

30G35, 42B10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-33-239, author = {Agarwal , RituGoswami , Mahesh Puri and Agarwal , Ravi P.}, title = {Sumudu Transform in Bicomplex Space and Its Applications}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {3}, pages = {239--253}, abstract = {

In this paper, we define Sumudu transform with convergence conditions in bicomplex space. Also, we derive some of its basic properties and its inverse. Applications of bicomplex Sumudu transform are illustrated to find the solution of differential equation of bicomplex-valued functions and find the solution for Cartesian transverse electric magnetic (TEM) waves in homogeneous space.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20608.html} }
TY - JOUR T1 - Sumudu Transform in Bicomplex Space and Its Applications AU - Agarwal , Ritu AU - Goswami , Mahesh Puri AU - Agarwal , Ravi P. JO - Annals of Applied Mathematics VL - 3 SP - 239 EP - 253 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20608.html KW - Sumudu transform, bicomplex numbers, bicomplex functions and bicomplex Laplace transform. AB -

In this paper, we define Sumudu transform with convergence conditions in bicomplex space. Also, we derive some of its basic properties and its inverse. Applications of bicomplex Sumudu transform are illustrated to find the solution of differential equation of bicomplex-valued functions and find the solution for Cartesian transverse electric magnetic (TEM) waves in homogeneous space.

Ritu Agarwal, Mahesh Puri Goswami & Ravi P. Agarwal. (2022). Sumudu Transform in Bicomplex Space and Its Applications. Annals of Applied Mathematics. 33 (3). 239-253. doi:
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