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On a subclass of analytic functions defined by Miller–Ross-type Poission distribution series

Abstract

In this work, we introduce and investigate a new class of analytic functions in the open unit disc \(\mathbb{U}\) with negative coefficients defined by the Miller Ross function. The object of the present paper is to determine coefficient estimates, distortion bounds, radii of starlike and convexity, extreme points, Hadamard product and closure property belonging to this class.

2020 Mathematics Subject Classification:

30C45

Keywords

analytic, starlike, convex, distortion, convolution

Full text

Author Details

Aditya Lagad

Department of Mathematics
N.E.S. Science College
Nanded – 431 602, Maharashtra, India
e-mail: lagadac@gmail.com

Rajkumar N. Ingle

Department of Mathematics
Bahirji Smarak Mahavidyalay
Basamathnagar – 431 512,  Maharashtra, India
e-mail: ingleraju@gmail.com

Pinninti Thirupathi Reddy

Department of Mathematics
DRK Institute of Science and Technology
Bowarmpet – 500 043, Hyderabad, Telangana, India
e-mail: reddypt2@gmail.com


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