Mellin transform in bicomplex space and its application

Authors

  • Ritu Agarwal Malaviya National Institute of Technology, Jaipur http://orcid.org/0000-0002-8532-6696
  • Mahesh Puri Goswami Malaviya National Institute of Technology, Jaipur
  • Ravi P. Agarwal Department of Mathematics, Texas A&M University - Kingsville 700 University Blvd. Kingsville, TX 78363-8202

DOI:

https://doi.org/10.24193/subbmath.2017.2.08

Keywords:

Bicomplex functions, Bicomplex numbers, Bicomplex Laplace transform and Mellin transform

Abstract

Motivated by the recent applications of bicomplex theory to the study of functions of large class, in this paper, we define bicomplex Mellin transform of bicomplex-valued functions. Also, we derive some of it's basic properties and inversion theorem in bicomplex space. Application of bicomplex Mellin transform in networks with time-varying parameters problem has been illustrated.

Author Biographies

  • Ritu Agarwal, Malaviya National Institute of Technology, Jaipur

    Assistant Professor

    Department of Mathematics

  • Mahesh Puri Goswami, Malaviya National Institute of Technology, Jaipur

    Research Scholar

    Department of Mathematics

References

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Published

2017-05-29

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