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Research Article | Open Access

Differential subordination, superordination results associated with Pascal distribution

K. Saritha, K. Thilagavathi( )
School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu, Vellore 632014, India
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Abstract

This paper aims to study differential subordination and superordination preserving properties for certain analytic univalent functions with in the open unit disk. In the present investigation, we obtain some subordination and superordination results involving Pascal distribution series for certain normalized analytic functions in the open unit disk. Also we estimate the sandwich results for the same class.

Keywords

differential subordinationdifferential superordinationstarlike functionconvex functionholomorphic functionPascal distribution series
CLC number: 52A41, 32W50

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 7856-7864
DOI: 10.3934/math.2023395

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Cite this article:
Saritha K, Thilagavathi K. Differential subordination, superordination results associated with Pascal distribution. AIMS Mathematics, 2023, 8(4): 7856-7864. https://doi.org/10.3934/math.2023395

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Received: 21 September 2022
Revised: 01 January 2023
Accepted: 05 January 2023
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)