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Volume 13
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10.3390/sym13122310
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Article

Starlikeness of New General Differential Operators Associated with q-Bessel Functions

by
Loriana Andrei
*,† and
Vasile-Aurel Caus
†
Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Symmetry 2021, 13(12), 2310; https://doi.org/10.3390/sym13122310
Submission received: 31 October 2021 / Revised: 17 November 2021 / Accepted: 20 November 2021 / Published: 3 December 2021
(This article belongs to the Special Issue Symmetry in Functional Equations and Analytic Inequalities II)
Versions Notes

Abstract

Owning to the importance and great interest of differential operators, two generalized differential operators, which may be symmetric or assymetric, are newly introduced in the present paper. Motivated by the familiar Jackson’s second and third Bessel functions, we derive necessary and sufficient conditions for which the new generalized operators belong to the class of q-starlike functions of order alpha. Several corollaries and consequences of the main results are also pointed out.
Keywords: analytic functions; univalent functions; q-starlike functions; q-difference operator; differential subordination; q-Bessel functions analytic functions; univalent functions; q-starlike functions; q-difference operator; differential subordination; q-Bessel functions

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MDPI and ACS Style

Andrei, L.; Caus, V.-A. Starlikeness of New General Differential Operators Associated with q-Bessel Functions. Symmetry 2021, 13, 2310. https://doi.org/10.3390/sym13122310

AMA Style

Andrei L, Caus V-A. Starlikeness of New General Differential Operators Associated with q-Bessel Functions. Symmetry. 2021; 13(12):2310. https://doi.org/10.3390/sym13122310

Chicago/Turabian Style

Andrei, Loriana, and Vasile-Aurel Caus. 2021. "Starlikeness of New General Differential Operators Associated with q-Bessel Functions" Symmetry 13, no. 12: 2310. https://doi.org/10.3390/sym13122310

APA Style

Andrei, L., & Caus, V.-A. (2021). Starlikeness of New General Differential Operators Associated with q-Bessel Functions. Symmetry, 13(12), 2310. https://doi.org/10.3390/sym13122310

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