ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 17 (2022), 333 -- 343
This work is licensed under a Creative Commons Attribution 4.0 International License.
UNIVALENT HOLOMORPHIC FUNCTIONS ASSOCIATED WITH THE BESSEL FUNCTION BASED ON SUBORDINATION STRUCTURE
Rohollah Valizadeh, Shahram Najafzadeh, Asghar Rahimi and Bayaz Daraby
Abstract. By considering the Bessel functions of the first kind of order ν and convolution structure, a new subclass of univalent holomorphic functions based of differential subordination is defined. Some geometric properties related to coefficient estimate, weighted mean, convolution preserving conditions and neighborhood concept are obtained.
2020 Mathematics Subject Classification: 30C45; 30C50
Keywords: Univalent analytic function, Bessel function, Coefficient bound, Convolution, Neighborhood
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Sh. Najafzadeh
Department of Mathematics,
Payame Noor University, Tehran, Iran.
e-mail: najafzadeh1234@yahoo.ie, shnajafzadeh44@pnu.ac.ir
R. Valizadeh
Department of Mathematics,
University of Maragheh, Maragheh, Iran.
e-mail: alirezas6611@gmail.com
A. Rahimi
Department of Mathematics,
University of Maragheh, Maragheh, Iran.
e-mail: rahimi@maragheh.ac.ir
B. Daraby
Department of Mathematics,
University of Maragheh, Maragheh, Iran.
e-mail: bdaraby@maragheh.ac.ir