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Research Article | Open Access

An application of Pascal distribution involving Kamali type related to leaf like domain

K. Saritha, K. Thilagavathi( )
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamilnadu, India
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Abstract

This paper aims to study the Geometric properties of analytic function in the open unit disk. In the present investigation, we obtain some geometric properties of Pascal distribution involving Kamali type related to leaf like domain. In this paper, we find coefficient inequality, Radii Properties, convolution product, partial sum of the class Σ ( δ , Φ , β , s , t , m ). Furthermore, we examine the distortion bounds belonging to the same class.

Keywords

univalent functionconvolutionPascal distributionleaf like domainKamali typesubordination
CLC number: 52A41, 32W50

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 16511-16527
DOI: 10.3934/math.2023844

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Cite this article:
Saritha K, Thilagavathi K. An application of Pascal distribution involving Kamali type related to leaf like domain. AIMS Mathematics, 2023, 8(7): 16511-16527. https://doi.org/10.3934/math.2023844

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Received: 08 February 2023
Revised: 25 March 2023
Accepted: 29 March 2023
Published: 15 July 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)