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EN
Let [...] be the class of functions regular in the unit disc. For two functions f(z) = [..].
EN
We consider convolution properties of regular functions using the concept of subordination. Let P(X, Y) denote the class of regular functions subordinated to the homography 1+Xz/1-Yz. It is known [10] that for some complex numbers A,B,C,D if is an element of P(A,B) and g is an element of P(C,D), then there exist X and Y such that f *p is an element of P(X,Y). In this paper we verify the reverse question: if for each h is an element of P(X, Y) it is possible to find suitable f is an element of P(A, B) and g is an element of P(C7, D) such that h=f*g.
EN
In this paper we Investigate a class of p-valent analytic functions with fixed argument of coefficient, which is defined in terms of generalized hypergeometric function. Using techniques due to Dziok and Srivastava [4] (see also [1]) we investigate coefficient estimates, distortion theorems, the radii of convexity and starlikeness in this class.
EN
Let[...] be the class of functions regular in the unit disc. For two functions f{z) = [...] and for all complex numbers m we define the convolution [...]. In this paper some special n=i properties of convolutions f*mg are considered. The geometric interpretation of this results are also given.
EN
Let [delta] be the unit disc and H the class of all regular functions in A. For two functions [...].
EN
Let [delta] be the unit disc and H the class of regular functions in A. For two functions [...].
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