Results 21 to 30 of about 1,183 (204)
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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Reshetnyak's Theorem and The Inner Distortion [PDF]
Pure and Applied Mathematics Quarterly, 2011 We prove that a quasilight mapping of finite distortion with locally n-integrable weak partials and locally integrable inner distortion is discrete and open. Mathematics Subject Classification (2000): 30C65, 26B10.
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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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Generalization of certain subclasses of analytic functions
International Journal of Mathematics and Mathematical Sciences, 1987 We introduce the subclass Tj(n,m,α) of analytic functions with negative coefficients by the operator Dn. Coefficient inequalities and distortion theorems of functions in Tj(n,m,α) are determind.
Tadayuki Sekine
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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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A Coding Theorem for f-Separable Distortion Measures [PDF]
Entropy, 2016 In this work we relax the usual separability assumption made in rate-distortion literature and propose f -separable distortion measures, which are well suited to model non-linear penalties. The main insight behind f -separable distortion measures is to define an n-letter distortion measure to be an f -mean of single-letter distortions ...
Yanina Shkel, Sergio Verdú
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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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On Achievable Rate Regions for Source Coding Over Networks [PDF]
, 2009 In the field of source coding over networks, a central goal is to understand the best possible performance for compressing and transmitting dependent data distributed over a network.
Gu, WeiHsin
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Some Bazilevič functions of order beta
International Journal of Mathematics and Mathematical Sciences, 1991 Distortion theorems and coefficient estimates are obtained for a new class of Bazilevič functions.
S. A. Halim
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Typically real logharmonic mappings
International Journal of Mathematics and Mathematical Sciences, 2002 We consider logharmonic mappings of the form f(z)=z|z| 2βhg¯ defined on the unit disk U which are typically real. We obtain representation theorems and distortion theorems.
Zayid Abdulhadi
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