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Starlikeness of Hadamard product of certain analytic functions |
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| Authors: | Janusz Sok &#x |
| Affiliation: | aDepartment of Mathematics, Rzeszów University of Technology, ul. W. Pola 2, 35-959 Rzeszów, Poland |
| Abstract: | An interesting criterion was given by Lashin (A.Y. Lashin, Some convolution properties of analytic functions, Appl. Math. Lett. 18 (2005) 135–138) to be starlike for convolution of analytic functions f, g such that Re[f′(z)],Re[g′(z)]β,,β<1 in the unit disc U. In this paper we shall improve this criterion. |
| Keywords: | Hadamard product (or convolution) Subordination Analytic functions Starlike functions Convex functions |
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