on certain classes of close-to-convex functions
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ID: 151713
1993
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Abstract
A function f, analytic in the unit disk E and given by , f(z)=z+∑k=2∞anzk is said to be
in the family Kn if and only if Dnf is close-to-convex, where Dnf=z(1−z)n+1∗f, n∈N0={0,1,2,…}
and ∗ denotes the Hadamard product or convolution. The classes Kn are investigated and some
properties are given. It is shown that Kn+1⫅Kn and Kn consists entirely of univalent functions.
Some closure properties of integral operators defined on Kn are given.
| Reference Key |
noor1993internationalon
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|---|---|
| Authors | ;Khalida Inayat Noor |
| Journal | structural engineering and mechanics |
| Year | 1993 |
| DOI |
10.1155/S0161171293000390
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| URL | |
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