Results 21 to 30 of about 1,722,948 (307)
Some distortion theorems for multivalent mappings [PDF]
Proceedings of the American Mathematical Society, 1959 The following lemma was first considered by Ahlfors [l ] and later by Polya [3], both of whom gave simple proofs and quite different applications. Later Jenkins [2] gave a considerably more involved proof whose merit was its generalizability to other problems.
Landau, H. J., Osserman, R.
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Four-point distortion theorem for complex polynomials [PDF]
, 2013 We prove a theorem on distortion of cross ratio of four points under the mapping effected by a complex polynomial with restricted critical values. Its corollaries include inequalities involving the absolute value and certain coefficients of a polynomial.
V. Dubinin
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Distortion Theorems in the Theory of Schlicht Functions [PDF]
Nagoya Mathematical Journal, 1950 Let be the family of analytic functions F(z) which are regular and schlicht in the circle E: |z| < 1 and normalized at the origin such that F(0) = 0 and F′(0) = 1. Let be the subfamily of consisting of all functions, each of which possesses, as boundary of its image-domain., a closed Jordan curve which is supposed to be regular analytic. Then is
Nagura, Shohei, Komatu, Yusaku
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Bi-Univalent Function Classes Defined by Using an Einstein Function and a New Generalised Operator
Science and Technology Indonesia, 2023 Let A be the class of all analytic and univalent functions f (z) = z+Σ∞k=2 akzk in the open unit disc D = {z:|z|
Munirah Rossdy +2 more
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Consideration of residual stress and geometry during heat treatment to decrease shaft bending [PDF]
, 2014 In automotive industry, heat treatment of components is implicitly related to distortion. This phenomenon is particularly obvious in the case of gearbox parts because of their typical geometry and precise requirements.
SURA, Edoardo +3 more
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On a New Subclass of Univalent Harmonic Functions That Defined by Integral Operator
Journal of Kufa for Mathematics and Computer, 2017 In this paper, we investigate several properties of the harmonic class ( ) we discuss the coefficient inequality, the distortion bounds theorem, the closure theorem, convex combinations, Bernardi integral operator and integral convolution property.
Waggas Galib Atshan +1 more
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A Distortion Theorem for iterated inverse branches of holomorphic endomorphisms of Pk
Journal of the London Mathematical Society, 2018 We linearize the inverse branches of the iterates of holomorphic endomorphisms of Pk and thus overcome the lack of Koebe Distortion theorem in this setting when k⩾2 . We review several applications of this result in holomorphic dynamics.
F. Berteloot, C. Dupont
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A Distortion Theorem for Analytic Maps of Annuli [PDF]
Canadian Journal of Mathematics, 1965 Every abstract open Riemann surface can be made "concrete" (in the terminology of (1)) by considering it as a covering surface (in general branched) of the complex plane by means of a suitable projection map p. Since this covering map is not unique, it seems natural to single out some such maps by an extremal property.
Castonguay, C. E., Helfenstein, H. G.
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Mitigation of welding distortion and residual stresses via cryogenic CO2 cooling - a numerical investigation [PDF]
, 2008 Fusion welding remains the most common and convenient fabrication method for large, thinplate welded structures. However, the resulting tendency to out-of-plane distortion exacts severe design and fabrication penalties in terms of poorer buckling ...
Camilleri, D., Gray, T.G.F., Nash, D.H.
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Exponential Strong Converse for Successive Refinement with Causal Decoder Side Information
Entropy, 2019 We consider the k-user successive refinement problem with causal decoder side information and derive an exponential strong converse theorem. The rate-distortion region for the problem can be derived as a straightforward extension of the two-user case by ...
Lin Zhou, Alfred Hero
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