Research Article

On the Sufficient Conditions for the Univalence of Definite Integral Operators Involving Certain Functions in S Class

Volume: 6 Number: 1 January 31, 2025
EN

On the Sufficient Conditions for the Univalence of Definite Integral Operators Involving Certain Functions in S Class

Abstract

In general terms, integral operators play a very important role as a useful mathematical tool in order to reach the desired results and make different inferences by analyzing the relevant issues in mathematics and applied sciences. It is important to understand the conditions under which integral operators map certain analytic functions to starlike and convex functions and effectively characterizing and using them is of great importance for studies in this field. In present article, some integral operators preserving class S are examined from a different perspective and the relevant inequalities and equations for their univalence are determined and solved.

Keywords

References

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  4. Causey W.M., The close-to-convexity and univalence of an integral, Mathematische Zeitschrift, 99, 207-212, 1967.
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  6. Duren P.L., Univalent Functions, 259, Springer Science & Business Media, 2001.
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Details

Primary Language

English

Subjects

Complex Systems in Mathematics

Journal Section

Research Article

Publication Date

January 31, 2025

Submission Date

December 25, 2023

Acceptance Date

October 15, 2024

Published in Issue

Year 2025 Volume: 6 Number: 1

APA
Akyar, A. (2025). On the Sufficient Conditions for the Univalence of Definite Integral Operators Involving Certain Functions in S Class. Fundamentals of Contemporary Mathematical Sciences, 6(1), 34-46. https://doi.org/10.54974/fcmathsci.1409461
AMA
1.Akyar A. On the Sufficient Conditions for the Univalence of Definite Integral Operators Involving Certain Functions in S Class. FCMS. 2025;6(1):34-46. doi:10.54974/fcmathsci.1409461
Chicago
Akyar, Alaattin. 2025. “On the Sufficient Conditions for the Univalence of Definite Integral Operators Involving Certain Functions in S Class”. Fundamentals of Contemporary Mathematical Sciences 6 (1): 34-46. https://doi.org/10.54974/fcmathsci.1409461.
EndNote
Akyar A (January 1, 2025) On the Sufficient Conditions for the Univalence of Definite Integral Operators Involving Certain Functions in S Class. Fundamentals of Contemporary Mathematical Sciences 6 1 34–46.
IEEE
[1]A. Akyar, “On the Sufficient Conditions for the Univalence of Definite Integral Operators Involving Certain Functions in S Class”, FCMS, vol. 6, no. 1, pp. 34–46, Jan. 2025, doi: 10.54974/fcmathsci.1409461.
ISNAD
Akyar, Alaattin. “On the Sufficient Conditions for the Univalence of Definite Integral Operators Involving Certain Functions in S Class”. Fundamentals of Contemporary Mathematical Sciences 6/1 (January 1, 2025): 34-46. https://doi.org/10.54974/fcmathsci.1409461.
JAMA
1.Akyar A. On the Sufficient Conditions for the Univalence of Definite Integral Operators Involving Certain Functions in S Class. FCMS. 2025;6:34–46.
MLA
Akyar, Alaattin. “On the Sufficient Conditions for the Univalence of Definite Integral Operators Involving Certain Functions in S Class”. Fundamentals of Contemporary Mathematical Sciences, vol. 6, no. 1, Jan. 2025, pp. 34-46, doi:10.54974/fcmathsci.1409461.
Vancouver
1.Alaattin Akyar. On the Sufficient Conditions for the Univalence of Definite Integral Operators Involving Certain Functions in S Class. FCMS. 2025 Jan. 1;6(1):34-46. doi:10.54974/fcmathsci.1409461

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