Some properties of analytical functions related to Borel distribution series

Volume 26, Issue 4, pp 395--404 http://dx.doi.org/10.22436/jmcs.026.04.07

Publication Date: January 14, 2022 Submission Date: November 10, 2021 Revision Date: November 23, 2021 Accteptance Date: December 10, 2021

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Authors

H. Niranjan - Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore--632014, Tamilnadu, India. A. N. Murthy - Department of Mathematics, A. V. V. Junior College, Warangal--506 002, Telangana, India. P. T. Reddy - Department of Mathematics, School of Engineering, NNRESGI, Medichal--500088, Telangana, India.

Abstract

In this paper, we introduce and study a new subclass of analytic functions which are defined by means of a linear operator. Some results connected to coefficient estimates, growth and distortion theorems, radii of starlikeness, convexity close-to-convexity and integral means inequalities related to the subclass is obtained.

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Keywords

• Analytic
• starlike
• coefficient bounds
• convexity

MSC

•  30C45
•  30C50

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