منابع مشابه
On Some Classes of Multivalent Starlike Functions
Classes of multivalent functions analogous to certain classes of univalent starlike functions are defined and studied. Estimates on coefficients and distortion are made, using a variety of techniques. 1. Let St denote the class of all functions/(z) = z + . . . analytic, univalent and starlike in the unit disc U. Such functions satisfy the condition Re(z/'(z)//(z)) >0,zGU. The problem of definin...
متن کاملSome Results on Starlike and Convex Functions
Let A denotes the class of functions f(z) that are analytic in the unit disk U = {z : |z| < 1} and normalized by f(0) = f ′(0)− 1 = 0. Further, let f, g ∈ A. Then we say that f(z) is subordinate to g(z), and we write f(z) ≺ g(z), if there exists a function ω(z), analytic in the unit disk U , such that ω(0) = 0, |ω(z)| < 1 and f(z) = g(ω(z)) for all z ∈ U . Specially, if g(z) is univalent in U t...
متن کاملSome Criteria for Strongly Starlike Multivalent Functions
By using the method of differential subordination, we obtain some sufficient conditions for strongly p-valent starlikeness.
متن کاملSome Remarks on Approximation of Plurisubharmonic Functions
Let Ω be a domain in Cn. An upper semicontinuous function u : Ω → [−∞,∞) is said to be plurisubharmonic if the restriction of u to each complex line is subharmonic (we allow the function identically −∞ to be plurisubharmonic). We say that u is strictly plurisubharmonic if for every z0 ∈ Ω there is a neigbourhood U of z0 and λ > 0 such that u(z) − λ|z|2 is plurisubharmonic on U . We write PSH(Ω)...
متن کاملSome Remarks on Monge-ampère Functions
The space of Monge-Ampère functions is a rather large function space with the property that, if u is a Monge-Ampère function, then the determinant of the Hessian can be identified with a well-defined Radon measure, denoted DetDu. Moreover, the map u 7→ DetDu is continuous in a natural weak topology on the space of Monge-Ampère functions. These properties make Monge-Ampère functions potentially ...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2013
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2013-593