Second Hankel determinant for bi-starlike and bi-convex functions of order β

Erhan Deniz, Murat Çağlar and Halit Orhan

Applied Mathematics and Computation, 2015, vol. 271, issue C, 301-307

Abstract: In the present investigation the authors obtain upper bounds for the second Hankel determinant H2(2) of the classes bi-starlike and bi-convex functions of order β, represented by Sσ*(β) and Kσ(β), respectively. In particular, the estimates for the second Hankel determinant H2(2) of bi-starlike and bi-convex functions which are important subclasses of bi-univalent functions are pointed out.

Keywords: Bi-univalent functions; Bi-starlike functions of order β; Bi-convex functions of order β; Second Hankel determinant (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:301-307

DOI: 10.1016/j.amc.2015.09.010

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