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| SUMUDU TRANSFORM IN BICOMPLEX SPACE AND ITS APPLICATIONS |
| Ritu Agarwal,Mahesh Puri Goswami,Ravi P. Agarwal |
| (Dept. of Math., Malaviya National Institute of Technology, Jaipur-302017, India;Dept. of Math., Texas A${\&}$M University - Kingsville 700 University Blvd. Kingsville, TX 78363-8202, USA) |
| DOI： |
| 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. |
| Key words: Sumudu transform; bicomplex numbers; bicomplex functions and bicomplex Laplace transform |