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The Hadamard Theorem and Borel-Carathéodory Theorem on Riemann Surfaces

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Acta Mathematica Sinica,English Series 2006年第3期22卷 945-950页

作者： Hui Ping ZHANG School of Information Renmin University of China

In this paper, we first define a kind of pseudo-distance function and annulus domain on Riemann surfaces, then prove the Hadamard Theorem and the Borel-Carathéodory Theorem on any Riemann surfaces.

关键词： (Sub)harmonic functions Pseudo-distance function Annulus domain analytic function

COMPOSITION OPERATORS ON HARDY-ORLICZ SPACES

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Acta Mathematica Scientia 2005年第1期25卷 105-111页

作者：刘立芳曹广福王晓峰 Department of Mathematics Xiamen University Xiamen 361000 China Department of Mathematics Guangzhou University Guangzhou 510405 China Department of Mathematics Zhongshan University Guangzhou 510000 China

Properties of composition operators induced by analytic self-maps on the unit disk of the complex plane in Hardy-Orlicz spaces are discussed. Results are concerned about boundedness, invertibility, compactness, Fredho... 详细信息

关键词： analytic function compact operator composition operator fixed point Fredholm operator Hardy-Orlicz space

Zygmund functions on the real line and quasiconformal deformations

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Science China Mathematics 2013年第4期56卷 757-769页

作者： SHEN YuLiang LIU HongXia WANG LiJun Department of Mathematics Soochow University

By a complex approach,we obtain some results concerning Zygmund functions on the real line,which corresponds to some classical results about Zygmund functions on the unit circle.

关键词： Zygmund function quasiconformal deformation analytic function

Shannon-type sampling for multivariate non-bandlimited signals

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Science China Mathematics 2013年第9期56卷 1915-1934页

作者： CHEN QiuHui QIAN Tao LI YouFa Cisco School of Informatics Guangdong University of Foreign Studies Department of Mathematics Faculty of Science and TechnologyUniversity of Macao College of Mathematics and Information Sciences Guangxi University

In this paper, starting from a function analytic in a neighborhood of the unit disk and based on Bessel functions, we construct a family of generalized multivariate sinc functions, which are radial and named radial Bessel-sinc (RBS) functions being time-frequency atoms with nonlinear phase. We obtain a recursive formula for the RBS functions in R d with d being odd. Based on the RBS function, a corresponding sampling theorem for a class of non-bandlimited signals is established. We investigate a class of radial functions and prove that each of these functions can be extended to become a monogenic function between two parallel planes, where the monogencity is taken to be of the Clifford analysis sense.

关键词： analytic function Fourier transform radial Bessel-Sinc function Shannon sampling

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半平面中非指数型函数的表示公式

Northeastern Mathematical Journal 1995年第1期11卷 108-112页

作者：邓冠铁

In this paper,we establish a representation formula of analytic function which is non exponential in the half plane x=Rz≥0 by an integration on the imaginary axis and an series on anincreasing sequence of positive ... 详细信息

关键词： and Phrases Representations Non-exponential Type analytic function

The construction of generalized B-spline low-pass filters related to possibility density

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Science China Mathematics 2012年第12期55卷 2481-2491页

作者： CHEN QiuHui LI LuoQing MALONEK Helmuth Cisco School of Informatics Guangdong University of Foreign Studies Guangzhou 510006 China Faculty of Mathematics and Computer Sciences Hubei University Wuhan 430062 China Department of Mathematics University of Aveiro Aveiro 3810-193 Portugal

Starting from piecewise constant functions, a novel family of generalized symmetric B-splines, with realizable ideal low-pass filters, are constructed. The first order generalized B-spline low-pass filter is closely related to functions analytic in a neighborhood of the unit disc and the generalized sinc functions. The properties of this kind of low-pass filters are investigated. The behavior of the generalized B-spline low-pass filter related to normalized Gaussian distribution is considered.

关键词： low-pass filter generalized B-spline analytic function Gaussian distribution

CERTAIN SUFFICIENT CONDITIONS FOR STARLIKENESS AND CONVEXITY OF MEROMORPHICALLY MULTIVALENT functionS

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Acta Mathematica Scientia 2013年第5期33卷 1300-1304页

作者：徐宜会 B.A.FRASIN 刘金林 Department of Mathematics Suqian College Department of Mathematics Al al-Bayt University Department of Mathematics Yangzhou University

In this paper we derive certain sufficient conditions for starlikeness and convexity of order α of meromorphically multivalent functions in the punctured unit disk.

关键词： analytic function meromorphically multivalent function starlike function convex function

MEROMORPHIC p-VALENT function WITH FIXED SECOND NEGATIVE COEFFICIENTS

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Analysis in Theory and Applications 2005年第2期21卷 132-142页

作者： M.Darus Universiti Kebangsaan Malaysia Malaysia

In this paper we consider the class ∑^＊（p,α,β,k,c） consisting of analytic functions with negativecoefficients and fixed second coefficient. The object of the present paper is to give coefficient estimates, convex linear combinations, some distortion theorems and radii of starlikeness and convexity for f（z） in the class ∑^＊（p,α,β,k,c） .

关键词： analytic function meromorphic function negative coefficient fixed second negative coefficient growth and distortion theorem

Third Hankel Determinant for Ma-Minda Bi-univalent functions

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Journal of Mathematical Research with Applications 2019年第4期39卷 361-377页

作者： Haiyan ZHANG Huo TANG School of Mathematics and Computer Science Chifeng University

In this paper, we investigate the third Hankel determinant H3（1） for the class Hσμ（λ, φ）(λ≥ 1, μ≥ 1) of Ma-Minda bi-univalent functions in the open unit disk D = {z : |z| <1} and obtain the upper bound of ... 详细信息

关键词： analytic function Hankel determinant Ma-Minda bi-univalent function upper bound