Journal of the Ramanujan Mathematical Society

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On Certain Classes of Analytic Functions with Fixed Second Coefficient


Affiliations
1 Department of Mathematics, Indian Institute of Technology, Kanpur-208 016, India
     

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Let T be the class of all functions of the form

f(z) = z - Σ αnzn, αn, 0.

that are analytic and univalent in U= { z : | z| < 1 }, and let C be the subclass of T which are convex in U.


Keywords

Univalent, Convex, Gelfond-Leontev Derivatives.
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  • On Certain Classes of Analytic Functions with Fixed Second Coefficient

Abstract Views: 155  |  PDF Views: 0

Authors

V. Srinivas
Department of Mathematics, Indian Institute of Technology, Kanpur-208 016, India

Abstract


Let T be the class of all functions of the form

f(z) = z - Σ αnzn, αn, 0.

that are analytic and univalent in U= { z : | z| < 1 }, and let C be the subclass of T which are convex in U.


Keywords


Univalent, Convex, Gelfond-Leontev Derivatives.