Communications of the
Korean Mathematical Society
CKMS
Article
ALL ARTICLES
View
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.
On partial sums of normalized $q$-Bessel functions
\.{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
Article Tools
Stats or Metrics
Share this article on :
Related articles in CKMS
-
Some results concerned with Hankel determinant for $\mathcal{N}\left( \mathcal{\alpha }\right)$ class
2021; 36(4): 715-727
-
Hypergeometric distribution series and its application of certain class of analytic functions based on special functions
2021; 36(4): 671-684
-
Some remarks of the Carath\'{e}odory's inequality on the right half plane
2020; 35(1): 201-215
-
Upper bound of second Hankel determinant for a subclass of bi-univalent functions of complex order
2019; 34(3): 783-797
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd