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

K. Saritha; K. Thilagavathi; K. Saritha; K. Thilagavathi

doi:10.3934/math.2023844

AIMS Mathematics

2023, Volume 8, Issue 7: 16511-16527. doi: 10.3934/math.2023844

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Research article

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

Received: 08 February 2023 Revised: 25 March 2023 Accepted: 29 March 2023 Published: 10 May 2023
MSC : 52A41, 32W50

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 $ \Sigma(\delta, \Phi, \beta, s, t, m) $. Furthermore, we examine the distortion bounds belonging to the same class.
- univalent function,
- convolution,
- Pascal distribution,
- leaf like domain,
- Kamali type,
- subordination
Citation: K. Saritha, K. Thilagavathi. An application of Pascal distribution involving Kamali type related to leaf like domain[J]. AIMS Mathematics, 2023, 8(7): 16511-16527. doi: 10.3934/math.2023844

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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 $ \Sigma(\delta, \Phi, \beta, s, t, m) $. Furthermore, we examine the distortion bounds belonging to the same class.

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