Normal families, multiplicity and the branch set of quasiregular maps.
Normal families of bicomplex meromorphic functions
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 tests for families...
Normal families of spaces mappings.
Normal families, orders of zeros, and omitted values.
Normal functions and normal families.
Normality and shared sets of meromorphic functions
The purpose of this paper is to investigate the normal families and shared sets of meromorphic functions. The results obtained complement the related results due to Fang, Liu and Pang.
Normality and value sharing with a linear differential polynomial
We prove some normality criteria for a family of meromorphic functions and as an application we prove a value distribution theorem for a differential polynomial.
Normality criteria and multiple values II
Let ℱ be a family of meromorphic functions defined in a domain D, let ψ (≢ 0, ∞) be a meromorphic function in D, and k be a positive integer. If, for every f ∈ ℱ and z ∈ D, (1) f≠ 0, ; (2) all zeros of have multiplicities at least (k+2)/k; (3) all poles of ψ have multiplicities at most k, then ℱ is normal in D.
Normality criteria for families of zero-free meromorphic functions
Let ℱ be a family of zero-free meromorphic functions in a domain D, let n, k and m be positive integers with n ≥ m+1, and let a ≠ 0 and b be finite complex numbers. If for each f ∈ ℱ, has at most nk zeros in D, ignoring multiplicities, then ℱ is normal in D. The examples show that the result is sharp.
Normality criteria of Lahiri's type and their applications.
Normality criterion concerning sharing functions. II.
Normality Domains for Families of Holomorphic Maps.
Normality of composite analytic functions and sharing an analytic function.
Normalization of almost conformal parabolic germs.
Normalizers of Modular Groups.
Norms of certain rational functions of a matrix and Schur's criterion for polynomials
Norms of factors of polynomials
Not every annular function is strongly annular.
Note au sujet du Rapport précédent.
Note on a role for entire functions of the classes P and P*.