Browsing Revista Colombiana de Matemáticas by Author "Merkes, E. P."
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On ratios of certain analytic functions
Burdick, G. R.; Merkes, E. P.Let H(z) = f(z) /g(z) and h(z) = f'(z) / g'(z) where bath f and g are in one of the classes whose members are convex, starlike relative to the origin, or typicallyreal in the open unit disk E. Sharp bounds on ∝ and gt; ...Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas. -
On the convex sum of certain univalent functions and the identity function
Merkes, E. P.If g(z) is analytic, univalent, and convex in the unit disk E = {|z| and lt; 1}, g(0) = 0, g'(0) = 1, we extend some known results about the classification of Hλ(z) = λZ+ (1- λ)g(Z)when λ ≥ 0. In particular, it is proved ...Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas.