Results 31 to 40 of about 270 (181)
Michigan Mathematical Journal, 1985 Let f be meromorphic and locally univalent in the upper half plane U with Schwarzian derivative S(f,z). Suppose that \(| 2(Im z)S(f,z)-c(c- 1)| \leq k| c|\) for all \(z\in U\).
Anderson, J. M., Hinkkanen, A.
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On Univalent Polynomials [PDF]
Proceedings of the American Mathematical Society, 1976 We define V n
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper we define a general integral operator for analytic functions in the open unit disk and we determine some conditions for univalence of this integral operator.
Pescar Virgil, Breaz Daniel
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On Convex Univalent Functions with Convex Univalent Derivatives
Rocky Mountain Journal of Mathematics, 2005 The authors studied the functions \[ \sum_{k=0}^{\infty}a_{k}\dfrac{(1+z)^k}{k!}, \] for \(a_{0}\geq a_{1}\geq...\geq 0\). They showed that these functions are either constant or convex univalent in the unit disk \(D\). The work is inspired by \textit{T. J.
Ruscheweyh, Stephan, Salinas, Luis
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A uniform quantitative stiff stability estimate for BDF schemes [PDF]
Opuscula Mathematica, 2006 The concepts of stability regions, \(A\)- and \(A(\alpha)\)-stability - albeit based on scalar models - turned out to be essential for the identification of implicit methods suitable for the integration of stiff ODEs.
Winfried Auzinger, Wolfgang Herfort
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On the Theorem of Univalence on the Boundary
AxiomsWe give several generalizations of a known theorem from complex analysis, namely the univalence on the boundary theorem. Starting from a purely topological result (Theorems 1 and 11), we obtain univalence conditions for Sobolev mappings.
Mihai Cristea
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International Journal of Mathematics and Mathematical Sciences, 1996 The radius of univalence is found for the convolution f∗g of functions f∈S (normalized univalent functions) and g∈C (close-to-convex functions). A lower bound for the radius of univalence is also determined when f and g range over all of S.
Herb Silverman
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THE SCHWARZIAN DERIVATIVES OF HARMONIC FUNCTIONS AND UNIVALENCE CONDITIONS
Проблемы анализа, 2017 In the paper we obtain some analogues of Nehari’s univalence conditions for sense-preserving functions that are harmonic in the unit disc D = {z ∈ C : |z| < 1}.
S. Yu. Graf
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Categorical structures for type theory in univalent foundations [PDF]
Logical Methods in Computer Science, 2018 In this paper, we analyze and compare three of the many algebraic structures that have been used for modeling dependent type theories: categories with families, split type-categories, and representable maps of presheaves. We study these in univalent type
Benedikt Ahrens +2 more
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Univalent functions with univalent Gelfond-Leontev derivatives [PDF]
Bulletin of the Australian Mathematical Society, 1984 Let be a nondecreasing sequence of positive numbers. We consider Gelfond-Leontev derivative Df(z), of a function , defined by for univalence and growth properties, and extend some results of Shah and Trimble. Set en = {d1d2 … dn), n≥l, e0 = 1, . Let r be the radius of convergence of p(z). We state parts of Theorem 1 and Corollaries. Let f and all Dkf,
Juneja, O. P., Shah, S. M.
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