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Bull. Korean Math. Soc. 2016; 53(1): 127-138
Printed January 31, 2016
https://doi.org/10.4134/BKMS.2016.53.1.127
Copyright © The Korean Mathematical Society.
Differential subordinations and superordinations for generalized Bessel functions
Huda A. Al-Kharsani, \'Arp\'ad Baricz, and Kottakkaran S. Nisar
Girls College, University of Dammam, Babe\c{s}-Bolyai University, Prince Sattam bin Abdulaziz University
Differential subordination and superordination preserving \linebreak properties for univalent functions in the open unit disk with an operator involving generalized Bessel functions are derived. Some particular cases involving trigonometric functions of our main results are also pointed out.
Keywords: generalized Bessel functions, univalent functions, differential subordination, differential superordination, Loewner chain, sandwich type results, Libera integral operator
MSC numbers: 33C10, 30C45
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