Normal families of bicomplex meromorphic functions
نویسندگان
چکیده
منابع مشابه
Normal Families of Bicomplex Holomorphic Functions
In this article, we introduce the concept of normal families of bicomplex holomorphic functions to obtain a bicomplex Montel theorem. Moreover, we give a general definition of Fatou and Julia sets for bicomplex polynomials and we obtain a characterization of bicomplex Fatou and Julia sets in terms of Fatou set, Julia set and filled-in Julia set of one complex variable. Some 3D visual examples o...
متن کاملNormal families of meromorphic functions sharing values or functions
* Correspondence: jiangyunbo@ss. buaa.edu.cn School of Mathematics and Systems Science and LMIB, Beihang University, Beijing, 100191, People’s Republic of China Abstract In this paper, we investigate the normal families of meromorphic functions concerning shared values and shared analytic functions and prove some normal criteria that generalize or extend some results obtained by Q. C. Zhang, Y....
متن کاملSome Normal Criteria for Families of Meromorphic Functions
In the paper, we study the normality of families of meromorphic functions related a Hayman Conjecture. We consider whether a family meromorphic functions F is normal in D, if for each function f in F , f ′ + af = b has at most one zero, where n is a positive integer, a and b = 0 are two finite complex numbers. Some examples show that the conditions in our results are best possible.
متن کاملFixed Points of Composite Meromorphic Functions and Normal Families
We show that there exists a function f meromorphic in the plane C such that the family of all functions g holomorphic in the unit disk D for which f ◦ g has no fixed point in D is not normal. This answers a question of Hinchliffe who had shown that this family is normal if Ĉ\f(C) does not consist of exactly one point in D. We also investigate the normality of the family of all holomorphic funct...
متن کاملThe value distribution of f + a(f ) and normal families of meromorphic functions
In this paper, we obtain a normal criterion of meromorphic functions concerning shared values. Let D be a domain in C and F be a family of meromorphic functions in D. Let k, n,m ∈ N, n ≥ mk+m+1, and a, b two finite complex numbers with a 6= 0. Suppose that every f ∈ F has all its zeros of multiplicity at least k+ 1 . If f + a(f ) and g + a(g)share the value b IM for every pair of functions (f, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2012
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap103-3-6