Results 61 to 70 of about 1,163,094 (200)
New classification of analytic functions with negative coefficients
International Journal of Mathematics and Mathematical Sciences, 1988 New classification of analytic functions with negative coefficients is given by using the coefficients inequality, that is, new subclass A(p,n,Bk) of analytic functions with negative coefficient is defined.
Shigeyoshi Owa, Milutin Obradovic
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AIMS Mathematics, 2020 In this paper, some classes of univalent harmonic functions are introduced by subordination, where the analytic parts of which are exponential starlike (or convex) functions with respect to the symmetric conjecture points.
Lina Ma, Shuhai Li, Huo Tang
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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 remark on Littlewood-Paley theory for the distorted Fourier transform [PDF]
arXiv, 2005 We show that the usual Mikhlin multiplier theorem relative to the distorted Fourier transform holds in the range (3/2,3) at least for radial functions and potentials. The restricted range is due to the fact that the Schroedinger operator which gives rise to the distorted Fourier transform may have a zero energy resonance.
arxiv
A distortion theorem for analytic functions
, 1971 Let f(z) be a function analytic in the disk Etz: I zj O let |f(z) | ? (1 I zi 2)--, zEE. In this paper it is shown that if'(z) I -< -n1[ _ (_)(1 -Z 12)2n I f(Z) 12] + (1 I Z 12)n+1 zeE.
M. S. Robertson
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On Notions of Distortion and an Almost Minimum Spanning Tree with Constant Average Distortion [PDF]
arXiv, 2016 This paper makes two main contributions: The first is the construction of a near-minimum spanning tree with constant average distortion. The second is a general equivalence theorem relating two refined notions of distortion: scaling distortion and prioritized distortion.
arxiv
Covering and distortion theorems for spirallike functions with respect to a boundary point [PDF]
arXiv, 2005 In this note we obtain some distortion results for spirallike functions with respect to a boundary point. In particular, we find the maximal domain covered by all spirallike functions of order $\beta$.
arxiv
Embedding approximately low-dimensional $\ell_2^2$ metrics into $\ell_1$ [PDF]
arXiv, 2015 Goemans showed that any $n$ points $x_1, \dotsc x_n$ in $d$-dimensions satisfying $\ell_2^2$ triangle inequalities can be embedded into $\ell_{1}$, with worst-case distortion at most $\sqrt{d}$. We extend this to the case when the points are approximately low-dimensional, albeit with average distortion guarantees.
arxiv
A distortion theorem and the Bloch constant for Bloch mappings in ℂN
Journal d'Analyse Mathematique, 2019 H. Hamada
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