Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator

By Hari M. Srivastava, Ş. Altınkaya, S. Yalçın. 2018

56 citations recorded by the source corpus.

In this paper, we discuss the various properties of a newly-constructed subclass of the class of normalized bi-univalent functions in the open unit disk, which is defined here by using a symmetric basic (or q-) derivative operator. Moreover, for functions belonging to this new basic (or q-) class of normalized biunivalent functions, we investigate the estimates and inequalities involving the second Hankel determinant.

Subfields: Geometry and Topology, Inorganic Chemistry

View Paper: https://www.semanticscholar.org/paper/7530b757ebc40442725fd5676dc94088ceebec4d

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In Geometry and Topology

In Inorganic Chemistry

Hari M. Srivastava

Citations in the corpus

A Study of Third Hankel Determinant Problem for Certain Subfamilies of Analytic Functions Involving Cardioid Domain (2019, background): “Recently, Srivastava and his coauthors [21] found the estimate of the second Hankel determinant for bi-univalent functions involving the symmetric q-derivative operator, while in [22], the authors studied Hankel and Toeplitz determinants for subfamilies of q-starlike functions connected with the con”
Some general families of q-starlike functions associated with the Janowski functions (2019, background): “[18] investigated the Hankel determinant of a subclass of bi-univalent functions defined by using a symmetric q-derivative.”