Analytic families of entire functions of finite order
نویسندگان
چکیده
منابع مشابه
On some results of entire functions of two complex variables using their relative lower order
Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.
متن کاملGrowth analysis of entire functions of two complex variables
In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.
متن کاملOn the Number of Zeros of Successive Derivatives of Entire Functions of Finite Order
1 We use this occasion to point out that the condition lim inf log M (r) < 1 r-+c g(r) in Theorem 2 of [1] can be replaced by the somewhat weaker condition : there exists a, sequence r1, + oo such that log M (r,,) < g(r1,). It is clear from the proof that only this is actually used . Thus the following assertion is true THEOREM B. Let g(r) denote an arbitrary increasing function, defined in 0 <...
متن کاملRelative order and type of entire functions represented by Banach valued Dirichlet series in two variables
In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of i...
متن کاملSufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha
In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to this class.
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: Kyoto Journal of Mathematics
سال: 1985
ISSN: 2156-2261
DOI: 10.1215/kjm/1250521108