Journal Name:
- İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi
| Author Name | University of Author |
|---|---|
Abstract (2. Language):
In the second part of this paper, we define Hk classes of all harmonic functions in U — {z : \z\ < 1}, f{z) = z + Ysz a*z + Si°a-»^ such that
E2°"fc(laJ + !a-J) ^ 1 ~ la-il> (fc G z+> la-^l< 1)- We also give some
theorems on neighborhoods of these classes, distortion theorems, namely, a covering theorem and a theorem on the uniform convergency of a sequence in H2. In the third part, we give a characterization of locally univalent harmonic functions and univalent harmonic functions in (7 = {z : \z\ < 1} by the Hadamard product. Moreover, we prove that two subclasses of close-to-convex functions class are invariant under Hadamard product.
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FULL TEXT (PDF):
75-83