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.