# Some Aspect of Certain two Subclass of Analytic Functions with Negative   Coefficients Defined by Rafid Operator

**Authors:** Alaa H. El-Qadeem, Sameerah K. Al-ghazal

arXiv: 1904.08984 · 2019-04-22

## TL;DR

This paper introduces new subclasses of analytic functions defined via Rafid operator, explores their properties, and investigates inequalities and partial sums related to these subclasses.

## Contribution

It defines two novel subclasses of analytic functions using Rafid operator and analyzes their neighborhood properties, inequalities, and partial sums.

## Key findings

- Neighborhood properties of the subclasses are established.
- Integral means inequalities are derived for the subclasses.
- Results on the partial sums of functions in these subclasses are presented.

## Abstract

In this paper, we define the subclasses $R_{\mu,p}^{\delta}(\alpha;A,B)\ $ and $ P_{\mu,p}^{\delta}(\alpha;A,B)\ $ of analytic functions in the open unit disc of complex plain. Then the neighborhood properties, integral means inequalities and some results concerning the partial sums of the functions belonging to these two subclasses are discussed.

## Full text

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## References

12 references — full list in the complete paper: https://tomesphere.com/paper/1904.08984/full.md

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Source: https://tomesphere.com/paper/1904.08984