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Volume 12
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Article

Geometric Properties of Generalized Integral Operators Related to The Miller–Ross Function

by
Sercan Kazımoğlu
1,
Erhan Deniz
1,* and
Luminita-Ioana Cotirla
2
1
Department of Mathematics, Faculty of Science and Letters, Kafkas University, Campus, 36100 Kars, Turkey
2
Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania
*
Author to whom correspondence should be addressed.
Axioms 2023, 12(6), 563; https://doi.org/10.3390/axioms12060563
Submission received: 16 May 2023 / Revised: 31 May 2023 / Accepted: 1 June 2023 / Published: 7 June 2023
(This article belongs to the Special Issue New Developments in Geometric Function Theory II)
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Abstract

It is very well-known that the special functions and integral operators play a vital role in the research of applied and mathematical sciences. In this paper, our aim is to present sufficient conditions for the families of integral operators containing the normalized forms of the Miller–Ross functions such that they can be univalent in the open unit disk. Moreover, we find the convexity order of these operators. In proof of results, we use some differential inequalities related with Miller–Ross functions and well-known lemmas. The various results, which are established in this paper, are presumably new, and their importance is illustrated by several interesting consequences and examples.
Keywords: analytic functions; Miller–Ross functions; univalence; convexity; special functions; univalent functions; integral operators analytic functions; Miller–Ross functions; univalence; convexity; special functions; univalent functions; integral operators

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MDPI and ACS Style

Kazımoğlu, S.; Deniz, E.; Cotirla, L.-I. Geometric Properties of Generalized Integral Operators Related to The Miller–Ross Function. Axioms 2023, 12, 563. https://doi.org/10.3390/axioms12060563

AMA Style

Kazımoğlu S, Deniz E, Cotirla L-I. Geometric Properties of Generalized Integral Operators Related to The Miller–Ross Function. Axioms. 2023; 12(6):563. https://doi.org/10.3390/axioms12060563

Chicago/Turabian Style

Kazımoğlu, Sercan, Erhan Deniz, and Luminita-Ioana Cotirla. 2023. "Geometric Properties of Generalized Integral Operators Related to The Miller–Ross Function" Axioms 12, no. 6: 563. https://doi.org/10.3390/axioms12060563

APA Style

Kazımoğlu, S., Deniz, E., & Cotirla, L.-I. (2023). Geometric Properties of Generalized Integral Operators Related to The Miller–Ross Function. Axioms, 12(6), 563. https://doi.org/10.3390/axioms12060563

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