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On certain classes of analytic functions in the unit disk

Toshiaki Yoshikai

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Abstract

In this note we shall consider the problem of finding the radius of convexity in some univalent region for functions f(z)=z+a2z2+‥‥which are analytic and satisfy Re {f'(z)/(λf'(z)+(1-λ)φ'(z))}>β for

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In this note we shall consider the problem of finding the radius of convexity in some univalent region for functions f(z)=z+a2z2+‥‥which are analytic and satisfy Re {f'(z)/(λf'(z)+(1-λ)φ'(z))}>β for

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Available abstract

In this note we shall consider the problem of finding the radius of convexity in some univalent region for functions f(z)=z+a2z2+‥‥which are analytic and satisfy Re {f'(z)/(λf'(z)+(1-λ)φ'(z))}>β for

Key concepts: Unit disk, Unit (ring theory), Computer science, Mathematics, Combinatorics, Mathematics education

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