Functions harmonic in a strip
نویسندگان
چکیده
منابع مشابه
A lower estimate of harmonic functions
We shall give a lower estimate of harmonic functions of order greater than one in a half space, which generalize the result obtained by B. Ya. Levin in a half plane.
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In the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.
متن کاملa lower estimate of harmonic functions
we shall give a lower estimate of harmonic functions of order greater than one in a half space, which generalize the result obtained by b. ya. levin in a half plane.
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In the three dimensional strip packing problem, we are given a set of three dimensional rectangular items and a three dimensional box B. The goal is to pack all the items in B such that the height of the packing is minimized. We consider the most basic version of the problem, where the items must be packed with their edges parallel to the edges of B and cannot be rotated. Building upon Caprara’...
متن کاملOn Harmonic Convolutions Involving a Vertical Strip Mapping
Let fβ = hβ + gβ and Fa = Ha +Ga be harmonic mappings obtained by shearing of analytic mappings hβ + gβ = 1/(2isinβ) log ( (1 + ze)/(1 + ze) ) , 0 < β < π and Ha+Ga = z/(1 − z), respectively. Kumar et al. [7] conjectured that if ω(z) = ez(θ ∈ R, n ∈ N) and ωa(z) = (a − z)/(1 − az), a ∈ (−1, 1) are dilatations of fβ and Fa, respectively, then Fa∗̃fβ ∈ S 0 H and is convex in the direction of the r...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1961
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1961-0132838-8