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Your search keyword '"Chen, Huaihui"' showing total 7 results
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7 results on '"Chen, Huaihui"'

1. Schwarz-Pick estimates for partial derivatives of arbitary order of bounded holomorphic functions in the unit ball of ℂn

Author

Chen Huaihui and Dai Shaoyu

Subjects
Unit sphere, Schwarz integral formula, Mathematics::Complex Variables, Schwarz lemma, General Mathematics, Superfunction, Bounded function, Mathematical analysis, General Physics and Astronomy, Analyticity of holomorphic functions, Landau's constants, Identity theorem, Mathematics
Abstract

This paper gives a Schwarz-Pick estimate for bounded holomorphic functions in the unit ball of ℂ n .

Published
2011

2. Products of spherical derivatives and normal functions

Author

Chen Huaihui and Peter Lappan

Subjects
Pure mathematics, Chen, biology, Process (computing), General Medicine, biology.organism_classification, Mathematics
Abstract

Chen and Gu [1] have given some results relating to normal families, and, in this paper, we give versions of these results valid for normal functions. In the process, we improve some of our previous results involving products of certain spherical derivatives as they relate to normal functions. Some examples are given to show the sharpness of our results.

Published
1998

3. Yosida functions and Picard values of integral functions and their derivatives

Author

Chen Huaihui

Subjects
Pure mathematics, General Mathematics, media_common.quotation_subject, Mathematical analysis, Holomorphic function, Function (mathematics), Distribution (mathematics), Order (group theory), Daniell integral, Transcendental number, Value (mathematics), Normality, Mathematics, media_common
Abstract

In this paper we improve and generalise a result of J. Clunie by proving that if f(z) is a transcendental integral function with only zeros of order at least k + 1, then f(k)(z) assumes every finite non-zero complex value infinitely often. Also, the related criterion for normality of a family of holomorphic functions is given, and the value distribution of f2 + afk is discussed.

Published
1996

4. Singular directions and differential polynomials of meromorphic functions

Author

Chen Huaihui and Gong Xianghong

Subjects
Discrete mathematics, Applied Mathematics, General Mathematics, Order zero, Complex number, Differential (mathematics), Mathematics, Meromorphic function
Abstract

We prove the existance of a kind of singular directions concerning the differential polynomials\(f^{(k)} + \sum\limits_{j = 0}^{k - 1} {a_j f^{(j)} - af^n } \).

Published
1992

5. A Maximum Principle for Subharmonic and Plurisubharmonic Functions

Author

Chen Huaihui and Paul M. Gauthier

Subjects
Subharmonic, Subharmonic function, Maximum principle, Simple (abstract algebra), General Mathematics, 010102 general mathematics, Mathematical analysis, Boundary (topology), 010103 numerical & computational mathematics, 0101 mathematics, 01 natural sciences, Mathematics
Abstract

We give a simple description of boundary sets which may be ignored in calculating the maximum of subharmonic or plurisubharmonic functions.

Published
1992

6. Bloch functions and Bloch constants

Author

Xiong, Chengji and Chen, Huaihui

Subjects
*BLOCH constant, *COMPLEX variables, *MATHEMATICAL functions, *COMPLEX numbers, *MATHEMATICS, *MATHEMATICAL analysis, *DIFFERENTIAL equations
Abstract

In this paper, the lower bounds of Bloch constants Bn, for functions with multiplicity at least n, are improved by showing [Copyright &y& Elsevier]

Published
2004
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