Coefficient Inequalities of Second Hankel Determinants for Some Classes of Bi-Univalent Functions

Rayaprolu Bharavi Sharma and Kalikota Rajya Laxmi
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Rayaprolu Bharavi Sharma: Department of Mathematics, Kakatiya University, Warangal, Telangana-506009, India
Kalikota Rajya Laxmi: Department of Mathematics, SRIIT, Hyderabad, Telangana-501301, India

Mathematics, 2016, vol. 4, issue 1, 1-11

Abstract: In this paper, we investigate two sub-classes S ? (?, ?) and K ? (?, ?) of bi-univalent functions in the open unit disc ? that are subordinate to certain analytic functions. For functions belonging to these classes, we obtain an upper bound for the second Hankel determinant H 2 (2).

Keywords: analytic functions; univalent functions; bi-univalent functions; second Hankel determinants (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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