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 Class-mapping properties of the Hohlov operator Bull. Korean Math. Soc. 2011 Vol. 48, No. 1, 51-65 https://doi.org/10.4134/BKMS.2011.48.1.51Printed January 1, 2011 Akshaya K. Mishra and Trailokya Panigrahi Berhampur University, Knowledge Campus Abstract : In the present paper sufficient conditions, in terms of hypergeometric inequalities, are found so that the Hohlov operator preserves a certain subclass of close-to-convex functions (denoted by ${\mathcal {R}}^\tau(A,B)$) and transforms the classes consisting of $k$-uniformly convex functions, $k$-starlike functions and univalent starlike functions into ${\mathcal {R}}^\tau(A,B)$. Keywords : univalent, $k$-uniformly convex, parabolic starlike, hypergeometric series, Hadamard product, Hohlov operator MSC numbers : 30C45, 33E05 Downloads: Full-text PDF