Second Hankel determinant for close-to-convex functions
نویسندگان
چکیده
منابع مشابه
Second Hankel determinant for bi-starlike and bi-convex functions of order β
In this paper we obtain upper bounds for the second Hankel determinant H2(2) of the classes bi-starlike and bi-convex functions of order β, which we denote by S∗ σ(β) and Kσ(β), respectively. In particular, the estimates for the second Hankel determinat H2(2) of bi-starlike and bi-convex functions which are important subclasses of bi-univalent functions are pointed out.
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G. Shanmugam, Research Scholar, Department of Mathematics, Madras Christian College, Tambaram, Tamil Nadu, India. E-mail: [email protected] B. Adolf Stephen, Associate Professor, Department of Mathematics, Madras Christian College, Tambaram, Tamil Nadu, India. E-mail: [email protected] K. G. Subramanian, Professor, School of Computer Sciences, Universiti Sains Malaysia, 11800 USM, ...
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*Correspondence: [email protected] 1School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia Full list of author information is available at the end of the article Abstract The estimates for the second Hankel determinant a2a4 – a3 of the analytic function f (z) = z + a2z + a3z + · · · , for which either zf ′(z)/f (z) or 1 + zf ′′(z)/f ′(z) is subordinate to a certai...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2017
ISSN: 1631-073X
DOI: 10.1016/j.crma.2017.09.006