Some properties of bicomplex holomorphic functions

نویسندگان

1 Department of Mathematics, Semnan University, Semnan, Iran

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

doi
10.22075/ijnaa.2024.33970.5071
چکیده

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.