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FEKETE-SZEG ˝ O INEQUALITY FOR A CERTAIN CLASS OF ANALYTIC FUNCTIONS

Maslina Darus, T. N. Shanmugam, Srikandan Sivasubramanian

Open publisher page 7 citations

Abstract

Abstract. In this present investigation, the authors obtain Fekete-Szego ̋ in-equality for certain normalized analytic function f(z) defined on the open unit disk for which zf ′(z)/f(z)+αz2f ′′(z)/f(z) (α ≥ 0) lies in a region starlike with respect to 1 and symmetric with respect to the real axis. Also certain application of the main result for a class of functions defined by convolution is given. As a special case of this result, Fekete-Szego ̋ inequality for a class of functions defined through fractional derivatives is obtained.. MSC 2000. 30C45.

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What this paper is about

Abstract. In this present investigation, the authors obtain Fekete-Szego ̋ in-equality for certain normalized analytic function f(z) defined on the open unit disk for which zf ′(z)/f(z)+αz2f ′′(z)/f(z) (α ≥ 0) lies in a region starlike with respect to 1 and symmetric with respect to the real axis. Also certain application of the main result for a class of functions defined by convolution is given. As a special case of this result, Fekete-Szego ̋ inequality for a class of functions defined through fractional derivatives is obtained.. MSC 2000. 30C45.

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Available abstract

Abstract. In this present investigation, the authors obtain Fekete-Szego ̋ in-equality for certain normalized analytic function f(z) defined on the open unit disk for which zf ′(z)/f(z)+αz2f ′′(z)/f(z) (α ≥ 0) lies in a region starlike with respect to 1 and symmetric with respect to the real axis. Also certain application of the main result for a class of functions defined by convolution is given. As a special case of this result, Fekete-Szego ̋ inequality for a class of functions defined through fractional derivatives is obtained.. MSC 2000. 30C45.

Key concepts: Mathematics, Analytic function, Class (philosophy), Convolution (computer science), Unit disk, Quasi-analytic function, Pure mathematics, Function (biology)

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