Global boundary behavior of meromorphic functions

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Boundary Rigidity for Some Classes of Meromorphic Functions

Let f be a function meromorphic on the open unit disk D, with angular boundary limits bounded by one in modulus almost everywhere on the unit circle. We give sufficient conditions in terms of boundary asymptotics at finitely many points on the unit circle T for f to be a ratio of two finite Blaschke products. A necessary condition is that f has finitely many poles in D, i.e., that f is a genera...

متن کامل

On the Behavior of Meromorphic Functions around Some Nonisolated Singularities

Let G be a plane domain, let E G be a Painlev e null set and let f be meromorphic in G n E having at least one essential singularity in E. Let be an exhaustion function of G n E , i.e., (z) tends to innnity as z tends to E. We rst show that there is a sequence (r n) with r n ! 1 such that the spherical lengths of the images of the level sets ?1 (r n) exceed. We also derive some estimates for th...

متن کامل

Iteration of Meromorphic Functions

4. The Components of the Fatou set 4.1. The types of domains of normality 4.2. The classification of periodic components 4.3. The role of the singularities of the inverse function 4.4. The connectivity of the components of the Fatou set 4.5. Wandering domains 4.6. Classes of functions without wandering domains 4.7. Baker domains 4.8. Classes of functions without Baker domains 4.9. Completely in...

متن کامل

Uniqueness of Meromorphic Functions∗

In this paper, Hinkkanen’s problem (1984) is completely solved, i.e., it is shown that any meromorphic function f is determined by its zeros and poles and the zeros of f (j) for j = 1, 2, 3, 4. To appear in J. Canad. Math. / Canad. J. Math.

متن کامل

Meromorphic Functions and Factoriality

Let K be a compact subset of a connected Stein manifold X. We study algebraic properties of the ring of meromorphic functions on X without poles in K.

متن کامل

ذخیره 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: Acta Mathematica

سال: 1961

ISSN: 0001-5962

DOI: 10.1007/bf02559534