Second Hankel determinant for a class of analytic functions defined by q-derivative operator

Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative

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...

Second Hankel Determinant for Certain Classes of Analytic Functions

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, ...

On Harmonic Functions Defined by Derivative Operator

A sufficient coefficient of this class is determined. It is shown that this coefficient bound is also necessary for the classM –– H n, λ, α if fn z h –– gn∈ MH n, λ, α , where h z z− ∑∞ k 2|ak|z, gn z −1 n ∑∞ k 1|bk|z and n ∈ N0. Coefficient conditions, such as distortion bounds, convolution conditions, convex combination, extreme points, and neighborhood for the class M –– H n, λ, α , are obta...

Subordination Results for a Class of Analytic Functions Defined by a Linear Operator

In this paper, we derive several interesting subordination results for certain class of analytic functions defined by the linear operator L(a, c)f(z) which introduced and studied by Carlson and Shaffer [2].

Bounds of Hankel Determinant for a Class of Univalent Functions