International Journal of Nonlinear Analysis and Applications

Some properties of bicomplex holomorphic functions

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Semnan University, Semnan, Iran

2 Department of Mathematics, University of Kashmir, Srinagar, 190006, India

10.22075/ijnaa.2024.33970.5071

Abstract

In this paper, we first establish the bicomplex version of Rouche's theorem. Also, a new approach is given to prove the maximum modulus principle for bicomplex holomorphic functions. Our proof is based on the direct method and extends the result proved by Luna-Elizarraras et al. Finally, we generalize the Hurwitz's theorem to bicomplex space.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 02 June 2024
  • Receive Date: 01 March 2024
  • Accept Date: 25 May 2024