\(q\)-Janowski type close-to-convex functions associated with a convolution operator
Volume 30, Issue 3, pp 272--280
http://dx.doi.org/10.22436/jmcs.030.03.06
Publication Date: February 02, 2023
Submission Date: April 24, 2022
Revision Date: August 31, 2022
Accteptance Date: December 02, 2022
Authors
S. G. A. Shah
- Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22060, Pakistan.
S. Al-Sa'di
- Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, Jordan.
S. Hussain
- Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22060, Pakistan.
S. Khan
- Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22060, Pakistan.
M. Darus
- Department of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia.
Abstract
In this paper, we will discuss some generalized sub-classes of analytic
function related with close-to-convex functions in conic domains by using \(q\)
-calculus. We investigate some important properties such as necessary and
sufficient conditions, coefficient estimates, convolution results, linear
combination, weighted mean, arithmetic mean, radii of star likeness and
growth and distortion for these classes. It is important to mention that
our results are a generalization of several existing results.
Share and Cite
ISRP Style
S. G. A. Shah, S. Al-Sa'di, S. Hussain, S. Khan, M. Darus, \(q\)-Janowski type close-to-convex functions associated with a convolution operator, Journal of Mathematics and Computer Science, 30 (2023), no. 3, 272--280
AMA Style
Shah S. G. A., Al-Sa'di S., Hussain S., Khan S., Darus M., \(q\)-Janowski type close-to-convex functions associated with a convolution operator. J Math Comput SCI-JM. (2023); 30(3):272--280
Chicago/Turabian Style
Shah, S. G. A., Al-Sa'di, S., Hussain, S., Khan, S., Darus, M.. "\(q\)-Janowski type close-to-convex functions associated with a convolution operator." Journal of Mathematics and Computer Science, 30, no. 3 (2023): 272--280
Keywords
- Analytic functions
- subordination
- Noor integral operator
- \(q\)-conic domain
- \(q\)-Janowski functions
- close-to-convex functions
MSC
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