Bicomplex analogues of some normality criteria
摘要
In this paper, we establish bicomplex analogues of some well-known normality criteria of families of meromorphic functions. A simultaneous rescaling version of bicomplex Zalcman’s lemma is obtained and as an application a bicomplex version of Caratheodory’s normality criterion is proved. Moreover, an analogue of the famous Nevanlinna’s five value theorem in bicomplex setting is also proved.