Differential subordination, superordination results associated with Pascal distribution

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

doi:10.3934/math.2023395

AIMS Mathematics

2023, Volume 8, Issue 4: 7856-7864. doi: 10.3934/math.2023395

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Research article

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

Received: 21 September 2022 Revised: 01 January 2023 Accepted: 05 January 2023 Published: 31 January 2023
MSC : 52A41, 32W50

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.
- differential subordination,
- differential superordination,
- starlike function,
- convex function,
- holomorphic function,
- Pascal distribution series
Citation: K. Saritha, K. Thilagavathi. Differential subordination, superordination results associated with Pascal distribution[J]. AIMS Mathematics, 2023, 8(4): 7856-7864. doi: 10.3934/math.2023395

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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.

References

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