CLASS-MAPPING PROPERTIES OF THE HOHLOV OPERATOR

Title & Authors
CLASS-MAPPING PROPERTIES OF THE HOHLOV OPERATOR
Mishra, Akshaya K.; Panigrahi, Trailokya;

Abstract
In the present paper sufficient conditions, in terms of hyper-geometric inequalities, are found so that the Hohlov operator preserves a certain subclass of close-to-convex functions (denoted by $\small{R^{\tau}}$ (A, B)) and transforms the classes consisting of k-uniformly convex functions, k-starlike functions and univalent starlike functions into $\small{\cal{R}^{\tau}}$ (A, B).
Keywords
univalent;k-uniformly convex;parabolic starlike;hypergeometric series;Hadamard product;Hohlov operator;
Language
English
Cited by
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