Commun. Korean Math. Soc. 2018; 33(2): 535-547
Online first article January 9, 2018 Printed April 30, 2018
https://doi.org/10.4134/CKMS.c170204
Copyright © The Korean Mathematical Society.
\.{I}brah\.{I}m Akta\c{s}, Hal\.{I}t Orhan
G\"{u}m\"{u}\c{s}hane University, Atat\"{u}rk University
In the present investigation our main aim is to give lower bounds for the ratio of some normalized $q$-Bessel functions and their sequences of partial sums. Especially, we consider Jackson's second and third $q$-Bessel functions and we apply one normalization for each of them.
Keywords: analytic function, $q$-Bessel functions, univalent functions, partial sums
MSC numbers: Primary 30C45
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