International Journal of Applied Mathematics and Numerical Research

Sandwich Results for Certain Differential Operator on Multivalent functions Operator

Mohammed A Fathi1

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Version of record

This is an author-deposited copy. The version of record was originally published elsewhere: Originally published in International Journal of Applied Mathematics and Numerical Research, Volume 2, Issue 5, 2026. DOI 10.54660/IJAMNR.2026.2.5.52-60 . Original source: https://www.mathresearchjournal.com/archives/year-2026.vol-2.issue-5.

Abstract

The aim of the present paper is to prove the existence of the sandwich theorem for differential operator defined by the convolution of univalent holomorphic function with the distribution probability function in simple – connected domain represented by the unit disk U={s=s∈C: |z|<1} by obtaining results that preserving the subordination and super ordination properties.

Keywords: Holomorphic functionBell numberconvolutiondeferential operatorSup ordination and subordination

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