Abstract

Strict upper bounds are determined for ¦s(z)¦, ¦Re s(z)¦, and ¦Im s(z) ¦ in the class of functions s(z)=anzn+an+1zn+1+... (n1) regular in ¦z¦ 0, andθ1 andθ2 are arbitrary real numbers. These bounds are used in the determination of radii of convexity and close-to-convexity of certain integral representations.

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