Third Hankel determinant for \(q\)-analogue of symmetric starlike connected to \(q\)-exponential function
Volume 16, Issue 4, pp 198--207
http://dx.doi.org/10.22436/jnsa.016.04.01
Publication Date: October 26, 2023
Submission Date: July 31, 2023
Revision Date: August 23, 2023
Accteptance Date: September 12, 2023
Authors
Y. Hamayun
- Government Post Graduate College Dargai, Pakistan.
N. Ullah
- Government Post Graduate College Dargai, Pakistan.
R. Khan
- Government Post Graduate College Dargai, Pakistan.
Kh. Ahmad
- Government Post Graduate College Dargai, Pakistan.
M. Gh. Khan
- Institute of Numerical Sciences, Kohat university of science and technology, Kohat, Pakistan.
B. Khan
- School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, Peoples Republic of China.
Abstract
By making use of the concept of basic (or \(q\)-) calculus, a subclass of \(q\) -starlike functions with reference to symmetric points, which is associated
with the \(q\)-exponential function, is introduced in the open unit disc.
Further, we derived upper bounds for the third-order Hankel determinant for
the defined class. For the validity of our results, relevant connections
with those in earlier works are also pointed out.
Share and Cite
ISRP Style
Y. Hamayun, N. Ullah, R. Khan, Kh. Ahmad, M. Gh. Khan, B. Khan, Third Hankel determinant for \(q\)-analogue of symmetric starlike connected to \(q\)-exponential function, Journal of Nonlinear Sciences and Applications, 16 (2023), no. 4, 198--207
AMA Style
Hamayun Y., Ullah N., Khan R., Ahmad Kh., Khan M. Gh., Khan B., Third Hankel determinant for \(q\)-analogue of symmetric starlike connected to \(q\)-exponential function. J. Nonlinear Sci. Appl. (2023); 16(4):198--207
Chicago/Turabian Style
Hamayun, Y., Ullah, N., Khan, R., Ahmad, Kh., Khan, M. Gh., Khan, B.. "Third Hankel determinant for \(q\)-analogue of symmetric starlike connected to \(q\)-exponential function." Journal of Nonlinear Sciences and Applications, 16, no. 4 (2023): 198--207
Keywords
- Analytic function
- subordination
- differential operator
- exponential function
- Fekete-Szego functional problems
MSC
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