Results 1 to 10 of about 676 (167)
Two-Point Distortion Theorems for Harmonic Mappings
Bulletin of the Malaysian Mathematical Sciences Society, 2023 We establish two-point distortion theorems for sense-preserving planar harmonic mappings $f=h+\overline{g}$ which satisfies the univalence criteria in the unit disc such that, Becker's and Nehari`s harmonic version. In addition, we find the sharp two-point distortion theorem when $h$ is a convex function, and normalized mappings such that $h(\D)$ is a $
Osvaldo Venegas, Rodrigo Hernández
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Mathematics, 2021 A class of p-valent analytic functions is introduced using the q-difference operator and the familiar Janowski functions. Several properties of functions in the class, such as the Fekete–Szegö inequality, coefficient estimates, necessary and sufficient ...
Bo Wang, Rekha Srivastava, Jin-Lin Liu
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Distortion theorems for Bloch functions [PDF]
Transactions of the American Mathematical Society, 1992 We establish various distortion theorems for both normalized locally schlicht Bloch functions and normalized Bloch function with branch points. These distortion theorems give lower bounds on either
Liu, Xiangyang, Minda, David
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The optimality of James’s distortion theorems [PDF]
Proceedings of the American Mathematical Society, 1997 A renorming of ℓ 1
Dowling, P. N. +3 more
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Remarks on James's distortion theorems II [PDF]
Bulletin of the Australian Mathematical Society, 1999 If a Banach space X contains a complemented subspace isomorphic to ℓ1 and if ε > 0, then there exists a subspace Y of X and a projection P from X onto Y such that Y is (1 + ε)-isometric to ℓ1 and ∥P∥ ≤ 1 + ε. A stronger result for c0 is proved for Banach spaces whose dual unit ball is weak sequentially compact.
Dowling, Patrick N. +2 more
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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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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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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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A Study of Some Families of Multivalent q-Starlike Functions Involving Higher-Order q-Derivatives
Mathematics, 2020 In the present investigation, by using certain higher-order q-derivatives, the authors introduce and investigate several new subclasses of the family of multivalent q-starlike functions in the open unit disk.
Bilal Khan +5 more
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Certain Subclasses Of Meromorphically Multivalent Functions Involving New Linear Operator [PDF]
المجلة العراقية للعلوم الاحصائية, 2013 The main object of this article is to study the subclasses of multivalent meromorphic functions by using a linear operator in punctured unit disk. Some geometric properties like coefficients bound, distortion theorems and convolutions property are ...
Abdul Rahman S. Juma
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