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

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.

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Publication Details

Journal
Serdica Mathematical Journal
Published
2024-12-23
DOI
https://doi.org/10.55630/serdica.2024.50.251-268
Primary Topic
Analytic and geometric function theory
Type
article
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article

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

P. Thirupathi Reddy, Aditya Lagad, R. N. Ingle
Serdica Mathematical Journal
Analytic and geometric function theory
article

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

P. Thirupathi Reddy, Aditya Lagad, R. N. Ingle
article en

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.

Serdica Mathematical JournalVol. 50(3-4)
Sanskriti Samvardhan Mandal (IN), Birla Institute of Technology and Science - Hyderabad Campus (IN)
Reduced inequalities
Openalex Percentile: Top 63%
Analytic and geometric function theory
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