Some inequalities of isoperimetric type for the integral means of analytic functions
M. Mateljević, M. Pavlović (1985)
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M. Mateljević, M. Pavlović (1985)
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In this paper we introduce and investigate three new subclasses of p-valent analytic functions by using the linear operator Dmλ,p(f * g)(z). The various results obtained here for each of these function classes include coefficient bounds, distortion inequalities and associated inclusion relations for (n, θ)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of a non-homogenous differential equation.
Dubinin, V.N., Èĭrikh, N.V. (2004)
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2000 Mathematics Subject Classification: 30C45
R. M. Shortt (1987)
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We give a different proof of the well-known fact that any uncountable family of analytic subsets of a Polish space with the point-finite intersection property must contain a subfamily whose union is not analytic. Our approach is based on the Kunen-Martin theorem.
(1968)
Annales Polonici Mathematici
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