Second Hankel Determinant for a Subclass of Alpha 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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Making use of Linear operator theory, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients. The main object of this paper is to obtain coefficient estimates distortion bounds, closure theorems and extreme points for functions belonging to this new class. The results are generalized to families with fixed finitely ma...
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Also let S, S∗ β , CV β , and K denote, respectively, the subclasses of A0 consisting of functions which are univalent, starlike of order β, convex of order β cf. 1 , and close-to-convex cf. 2 in U. In particular, S∗ 0 S∗ and CV 0 CV are the familiar classes of starlike and convex functions in U cf. 2 . Given f and g inA, the function f is said to be subordinate to g in U if there exits a funct...
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ژورنال
عنوان ژورنال: Journal of Applied & Computational Mathematics
سال: 2014
ISSN: 2168-9679
DOI: 10.4172/2168-9679.1000167