Title of article :
New Criteria for Univalent‎, ‎Starlike‎, ‎Convex‎, ‎and Close-to-Convex Functions on the Unit Disk
Author/Authors :
Yasamian, Mohammad Reza Department of Mathematics - Payame Noor University, Tehran, Iran , Ebadian, Ali Department of Mathematics - Payame Noor University, Tehran, Iran , Foroutan, Mohammad Reza Department of Mathematics - Payame Noor University, Tehran, Iran
Pages :
17
From page :
207
To page :
223
Abstract :
In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D. For functions belonging to these classes SD, SD* and KD, we derive several properties including (for example) the coefficient bounds and growth theorems. The various results presented here would generalize many well known results. We also get a new univalent criterion and some interesting properties for univalent function,starlike function,convex function and close-to-convex function. Many superclasses which are already studied by various researchers are obtained as special cases of our two new superclasses.
Keywords :
Univalent functions , Starlike functions , Convex functions , Close-to-convex function
Journal title :
Mathematics Interdisciplinary Research
Serial Year :
2020
Record number :
2605222
Link To Document :
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