Some properties of bicomplex holomorphic functions

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.

کلیدواژه ها:

Bicomplex Function ، Rouche's theorem ، Maximum Modulus Principle ، Hurwitz's theorem