A New Class of Analytic Functions Defined by Using Salagean Operator | Zendy

R. M. El-Ashwah | Zendy; M. K. Aouf | Zendy; A. A. M. Hassan | Zendy; A. H. Hassan | Zendy

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A New Class of Analytic Functions Defined by Using Salagean Operator

Author(s) -

R. M. El-Ashwah,

M. K. Aouf,

A. A. M. Hassan,

A. H. Hassan

Publication year - 2013

Publication title -

international journal of analysis

Language(s) - English

Resource type - Journals

eISSN - 2314-4998

pISSN - 2314-498X

DOI - 10.1155/2013/153128

Subject(s) - convexity , mathematics , class (philosophy) , analytic function , operator (biology) , extreme point , distortion (music) , pure mathematics , quasi analytic function , algebra over a field , mathematical analysis , global analytic function , combinatorics , non analytic smooth function , cmos , repressor , artificial intelligence , electronic engineering , amplifier , chemistry , computer science , financial economics , engineering , biochemistry , transcription factor , economics , gene

We derive some results for a new class of analytic functions defined by using Salagean operator. We give some properties of functions in this class and obtain numerous sharp results including for example, coefficient estimates, distortion theorem, radii of star-likeness, convexity, close-to-convexity, extreme points, integral means inequalities, and partial sums of functions belonging to this class. Finally, we give an application involving certain fractional calculus operators that are also considered

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