Geodesic
Third Hankel determinant for $q$-analogue of symmetric starlike connected to $q$-exponential function
Hamayun, Y.1 ; Ullah, N.1 ; Khan, R.1 ; Ahmad, Kh.1 ; Khan, M. Gh.2 ; Khan, B.3
1 Government Post Graduate College Dargai, Pakistan
2 Institute of Numerical Sciences, Kohat university of science and technology, Kohat, Pakistan
3 School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, Peoples Republic of China
Journal of nonlinear sciences and its applications, Tome 16 (2023) no. 4, p. 198-207.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.016.04.01
Classification : 30C45, 30C50, 30C80
Keywords: Analytic function, subordination, differential operator, exponential function, Fekete-Szego functional problems

Hamayun, Y. 1 ; Ullah, N. 1 ; Khan, R. 1 ; Ahmad, Kh. 1 ; Khan, M. Gh. 2 ; Khan, B. 3

1 Government Post Graduate College Dargai, Pakistan
2 Institute of Numerical Sciences, Kohat university of science and technology, Kohat, Pakistan
3 School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, Peoples Republic of China 
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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 its applications, Tome 16 (2023) no. 4, p. 198-207. doi : 10.22436/jnsa.016.04.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.016.04.01/

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