Use the q-Integral Operator that Implicitly Contain the q-Ruscheweyh Derivative in a New Class of Analytic Univalent Functions Described by Some of their Finite Negative Invariant Coefficients

In this article, we study some of the basic geometric properties involved in finding an estimate or determining the value of the coefficients on the basis that the function is characterized by the starlike and convexity of the order , respectively. In addition to other properties, all this is done by defining a new class of analytic univalent functions by applying a quantum integral that implicitly contains a Ruscheweyh's quantum derivative to this special class, described by some of its non-variable coefficients.

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Publication Details

Journal
Pure Sciences International Journal of Kerbala
Published
2025-09-30
DOI
https://doi.org/10.53851/psijk.v2.i7.16-22
Primary Topic
Analytic and geometric function theory
Type
article
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article

Use the q-Integral Operator that Implicitly Contain the q-Ruscheweyh Derivative in a New Class of Analytic Univalent Functions Described by Some of their Finite Negative Invariant Coefficients

Hazha Zirar Hussain
Pure Sciences International Journal of Kerbala
Analytic and geometric function theory
article

Use the q-Integral Operator that Implicitly Contain the q-Ruscheweyh Derivative in a New Class of Analytic Univalent Functions Described by Some of their Finite Negative Invariant Coefficients

Hazha Zirar Hussain
article en

Abstract

In this article, we study some of the basic geometric properties involved in finding an estimate or determining the value of the coefficients on the basis that the function is characterized by the starlike and convexity of the order , respectively. In addition to other properties, all this is done by defining a new class of analytic univalent functions by applying a quantum integral that implicitly contains a Ruscheweyh's quantum derivative to this special class, described by some of its non-variable coefficients.

Pure Sciences International Journal of KerbalaVol. 2(7)
Salahaddin University-Erbil (IQ)
Openalex Percentile: Top 65%
Analytic and geometric function theory
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