Solving some problems of advanced analytical nature posed in the SIAM Review. II.
Grosjean, Carl C. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Grosjean, Carl C. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Adegoke, Kunle, Layeni, Olawanle (2010)
Applied Mathematics E-Notes [electronic only]
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Grainger, Arthur D. (2003)
International Journal of Mathematics and Mathematical Sciences
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Guersenzvaig, Natalio H., Spivey, Michael Z. (2007)
Integers
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Wancang Ma, David Minda (1993)
Annales Polonici Mathematici
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Recently, A. W. Goodman introduced the class UCV of normalized uniformly convex functions. We present some sharp coefficient bounds for functions f(z) = z + a₂z² + a₃z³ + ... ∈ UCV and their inverses . The series expansion for converges when , where depends on f. The sharp bounds on and all extremal functions were known for n = 2 and 3; the extremal functions consist of a certain function k ∈ UCV and its rotations. We obtain the sharp bounds on and all extremal functions for...
De Coster, C., Habets, P. (1996)
Portugaliae Mathematica
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Viktor Harangi (2011)
Open Mathematics
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We say that a set in a Euclidean space does not contain an angle α if the angle determined by any three points of the set is not equal to α. The goal of this paper is to construct compact sets of large Hausdorff dimension that do not contain a given angle α ∈ (0,π). We will construct such sets in ℝn of Hausdorff dimension c(α)n with a positive c(α) depending only on α provided that α is different from π/3, π/2 and 2π/3. This improves on an earlier construction (due to several authors)...
Wituła, Roman, Słota, Damian (2007)
Journal of Integer Sequences [electronic only]
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Mohmed H. Saleh, Samir M. Amer, Marwa H. Ahmed (2009)
Applications of Mathematics
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A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
Adam Lecko (1993)
Annales Polonici Mathematici
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For α ∈ [0,1] and β ∈ (-π/2,π/2) we introduce the classes defined as follows: a function f regular in U = z: |z| < 1 of the form , z ∈ U, belongs to the class if for z ∈ U. Estimates of the coefficients, distortion theorems and other properties of functions in are examined.
Vella, David C. (2008)
Integers
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