Results 31 to 40 of about 1,183 (204)
New Classes of Analytic Functions Involving Generalized Noor Integral Operator
Journal of Inequalities and Applications, 2008 The present article investigates new classes of functions involving generalized Noor integral operator. Some properties of these functions are studied including characterization and distortion theorems.
Maslina Darus, Rabha W. Ibrahim
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Remarks on James's distortion theorems [PDF]
Bulletin of the Australian Mathematical Society, 1998 If a Banach space X contains a complemented subspace isomorphic to c0 (respectively, ℓ1), then X contains complemented almost isometric copies of c0 (respectively, ℓ1). If a Banach space X is such that X* contains a subspace isomorphic to L1[0, 1] (respectively, ℓ∞), then X* contains almost isometric copies of L1[0, 1] (respectively, ℓ∞).
Dowling, Patrick N. +2 more
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A new subclass of close-to-convex functions [PDF]
Surveys in Mathematics and its Applications, 2016 In this work, we introduce and investigate an interesting subclass Xt(γ) of analytic and close-to-convex functions in the open unit disk U. For functions belonging to the class Xt(γ), we drive several properties including coefficient estimates ...
J. K. Prajapat
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Prestarlike functions with negative coefficients
International Journal of Mathematics and Mathematical Sciences, 1979 The extreme points for prestarlike functions having negative coefficients are determined. Coefficient, distortion and radii of univalence, starlikeness, and convexity theorems are also obtained.
H. Silverman, E. M. Silvia
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Close-to-starlike logharmonic mappings
International Journal of Mathematics and Mathematical Sciences, 1996 We consider logharmonic mappings of the form f=z|z|2βhg¯ defined on the unit disc U which can be written as the product of a logharmonic mapping with positive real part and a univalent starlike logharmonic mapping.
Zayid Abdulhadi
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Distortion theorems for Bloch functions [PDF]
Pacific Journal of Mathematics, 1997 This paper is a continuation of the authors' earlier investigation [see \textit{M. Bonk, D. Minda} and \textit{H. Yanagihara} [J. Anal. Math. 69, 73-95 73-95 (1996; Zbl 0874.30026)] of distortion theorems for Bloch functions. A holomorphic function \(f\) defined on the unit disk \(D\) is called a Bloch function if \[ \|f\|_B= \sup\biggl \{\bigl(1- |z |^
Bonk, Mario +2 more
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Some properties and results for certain subclasses of starlike and convex functions [PDF]
Sahand Communications in Mathematical Analysis, 2017 In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $; meromorphic and starlike functions of order $ beta $.
Mohammad Taati +2 more
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On Some Subclasses of Harmonic Functions Defined by Fractional Calculus
International Journal of Mathematics and Mathematical Sciences, 2008 The purpose of this paper is to study subclasses of normalized harmonic functions with positive real part using fractional derivative. Sharp estimates for coefficients and distortion theorems are given.
R. A. Al-Khal, H. A. Al-Kharsani
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Convex functions and the rolling circle criterion
International Journal of Mathematics and Mathematical Sciences, 1995 Given 0≤R1≤R2≤∞, CVG(R1,R2) denotes the class of normalized convex functions f in the unit disc U, for which ∂f(U) satisfies a Blaschke Rolling Circles Criterion with radii R1 and R2.
V. Srinivas, O. P. Juneja, G. P. Kapoor
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On conformal distortion and Sullivan’s sector theorem [PDF]
Proceedings of the American Mathematical Society, 1998 Using general bounds on the conformal distortion of univalent maps, we prove a strong version of Sullivan’s sector theorem, which gives certain sufficient conditions for an arbitrarily long composition of univalent Herglotz functions to map the upper half-plane into a proper sub-sector.
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