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Displaying similar documents to “Gap orders of meromorphic functions on Riemann surfaces.”

Normal families of bicomplex meromorphic functions

Kuldeep Singh Charak, Dominic Rochon, Narinder Sharma (2012)

Annales Polonici Mathematici

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We introduce the extended bicomplex plane 𝕋̅, its geometric model: the bicomplex Riemann sphere, and the bicomplex chordal metric that enables us to talk about convergence of sequences of bicomplex meromorphic functions. Hence the concept of normality of a family of bicomplex meromorphic functions on bicomplex domains emerges. Besides obtaining a normality criterion for such families, the bicomplex analog of the Montel theorem for meromorphic functions and the fundamental normality...