منابع مشابه
On the meromorphic solutions of an equation of Hayman
The behavior of meromorphic solutions of differential equations has been the subject of much study. Research has concentrated on the value distribution of meromorphic solutions and their rates of growth. The purpose of the present paper is to show that a thorough search will yield a list of all meromorphic solutions of a multi-parameter ordinary differential equation introduced by Hayman. This ...
متن کاملHayman Admissible Functions in Several Variables
Abstract. An alternative generalisation of Hayman’s admissible functions ([17]) to functions in several variables is developed and a multivariate asymptotic expansion for the coefficients is proved. In contrast to existing generalisations of Hayman admissibility ([7]), most of the closure properties which are satisfied by Hayman’s admissible functions can be shown to hold for this class of func...
متن کاملIteration 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 کاملUniqueness 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 کاملMeromorphic 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.
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1995
ISSN: 0386-5991
DOI: 10.2996/kmj/1138043351