Quasi-partial sums of the generalized Bernardi integral of certain analytic functions

TL;DR

This paper extends a mathematical result about functions of bounded turning to a broader class of functions, enhancing understanding of their properties within complex analysis.

Contribution

It generalizes previous work on the Bernardi integral, applying it to a wider class of analytic functions beyond bounded turning.

Findings

Extended the class of functions for which the Bernardi integral results hold

Provided new bounds and properties for the generalized Bernardi integral

Enhanced theoretical understanding of analytic functions in complex analysis

Abstract

In this short note we extend a result of Jahangiri and Farahmand \cite{JM} concerning functions of bounded turning to a more general class of functions.