Second Hankel determinant for bi-univalent functions associated with $q$-differential operator

Mallikarjun G. Shrigan

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 663-671.

Résumé

The objective of this paper is to obtain an upper bound to the second Hankel determinant denoted by $H_{2}(2)$ for the class $S_{q}^{*}(\alpha)$ of bi-univalent functions using $q$-differential operator.

Détail

Keywords: Hankel determinant, bi-univalent functions, $q$-differential operator, Fekete-Szegö functional.

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