Korean J. Math. Vol. 31 No. 3 (2023) pp.323-337
DOI: https://doi.org/10.11568/kjm.2023.31.3.323

Integration of bicomplex valued function along hyperbolic curve

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Published: Sep 30, 2023
Keywords:
Bounded variation, Partitions, Rectifiable hyperbolic path, Hyperbolic interval, Product-type bicomplex functions
Mathematics Subject Classification:
30E20, 30G35, 32A30

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Chinmay Ghosh
Department of Mathematics, Kazi Nazrul University, Nazrul Road, P.O.- Kalla C.H. Asansol-713340, West Bengal, India
Soumen Mondal
28, Dolua Dakshinpara Haridas Primary School, Beldanga, Murshidabad, Pin-742133, West Bengal, India

Abstract

In this paper, we have defined bicomplex valued functions of bounded variations and rectifiable hyperbolic path. We have studied the integration of product-type bicomplex valued functions on rectifiable hyperbolic path. Also we have established bicomplex analogue of the Fundamental Theorem of Calculus for hyperbolic line integral.



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