Prime Entire Functions
نویسنده
چکیده
Factorizations of various functions are discussed. Complete factorizations of certain classes of functions are given. In particular it is shown that there exist primes of arbitrary growth.
منابع مشابه
Some study on the growth properties of entire functions represented by vector valued Dirichlet series in the light of relative Ritt orders
For entire functions, the notions of their growth indicators such as Ritt order are classical in complex analysis. But the concepts of relative Ritt order of entire functions and as well as their technical advantages of not comparing with the growths of $exp exp z$ are not at all known to the researchers of this area. Therefore the studies of the growths of entire functions in the light of thei...
متن کاملOn the Prime Ideals of the Ring of Entire Functions
On the prime ideals of the ring of entire functions.
متن کاملOn the Composition of a Prime Transcendental Function and a Prime Polynomial
where f is meromorphic and g is entire (g may be meromorphic when f is rational). A nonlinear meromorphic function F (z) is called prime (pseudo prime) if every factorization of form (1) implies that either f is bilinear or g is linear (either f is rational or g is a polynomial). Clearly, a prime function is an analogy of a prime number. Over the past thirty years, many classes of prime or pseu...
متن کاملFurther growth of iterated entire functions in terms of its maximum term
In this article we consider relative iteration of entire functions and studycomparative growth of the maximum term of iterated entire functions withthat of the maximum term of the related functions.
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 کامل