منابع مشابه
Stability of Admissible Functions
By using the concept of the weak subordination, we examine the stability a class of analytic functions in the unit disk is said to be stable if it is closed under weak subordination for a class of admissible functions in complex Banach spaces. The stability of analytic functions in the following classes is discussed: Bloch class, little Bloch class, hyperbolic little Bloch class, extend Bloch c...
متن کاملOn Generalized Hyers-Ulam Stability of Admissible Functions
and Applied Analysis 3 where the function f z is analytic in simply connected region of the complex z-plane C containing the origin, and the multiplicity of z − ζ −α is removed by requiring log z − ζ to be real when z − ζ > 0. Definition 2.2. The fractional integral of order α > 0 is defined, for a function f z , by
متن کاملSingularities of Admissible Normal Functions
In a recent paper, M. Green and P. Griffiths used R. Thomas’ works on nodal hypersurfaces to establish the equivalence of the Hodge conjecture and the existence of certain singular admissible normal functions. Inspired by their work, we study normal functions using M. Saito’s mixed Hodge modules and prove that the existence of singularities of the type considered by Griffiths and Green is equiv...
متن کاملClasses of admissible functions associated with certain integral operators applied to meromorphic functions
In the present paper, by making use of the differential subordination and superordination results of Miller and Mocanu, certain classes of admissible functions are determined so that subordination as well as superordination implications of functions associated with an integral operator hold. Additionally, differential sandwich-type result is obtained.
متن کاملCohomology classes of admissible normal functions
We study the map associating the cohomology class of an admissible normal function on the product of punctured disks, and give some sufficient conditions for the surjectivity of the map. We also construct some examples such that the map is not surjective.
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2011
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2011/342895