Mellin transform in bicomplex space and its application
DOI:
https://doi.org/10.24193/subbmath.2017.2.08Keywords:
Bicomplex functions, bicomplex numbers, bicomplex Laplace transform, 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.
Mathematics Subject Classification (2010): 30G35, 42B10.
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