摘要:

The solvability of a wide class of nonlinear boundary value problems of Riemann–Hilbert type of generalized analytic functions (in the sense of Vekua) is shown. Applications to nonlinear boundary value problems of Poincaré type for elliptic equations of second order are discussed.

ISSN:0278-1077    

DOI:10.1080/17476939508814817

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

It is shown that the Pick functions are extremal for the functional |a2a3| in the class of bounded univalent functionsf(z)=z+a2z2+ …, |f(z)|<M,|z|<1Mis sufficiently large. This is a special case of a conjecture of Z. Jakubowski for the functional |akan| where eitherkornis even. Moreover it is shown that the Pick functions do not maximize |kan| ifkandnare odd.

ISSN:0278-1077    

DOI:10.1080/17476939508814818

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

We prove that the Jacobian of a locally defined holomorphic mapping between two real-analyticCR-manifoldsM1andM2in, whereM1has a nondegenerate Levi form and satisfies a certain rigidity condition, is identically zero, if it is zero at one point on1. We also give a description of the image of the mapping in terms of the geometry ofM2.

ISSN:0278-1077    

DOI:10.1080/17476939508814819

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

In this paper, we will give some examples ofCk-pseudoprimeness of holomorphic mappings fork> 1. Also Borel's lemma for linear relations among exponentials of entire functions of one variable has been generalized for functions defined onCm. As an application of the generalization we obtain a property ofC-factorization of holomorphic functions onCm. Also we have provedC-pseudoprimeness of some meromorphic functions of finite order onCm.

ISSN:0278-1077    

DOI:10.1080/17476939508814820

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

Given a polynomial holomorphic automorphismgofC2which is not conjugate to an affine aperiodic map, we find all real one parameter subgroups {φtt:tεR} in the holomorphic automorphis group Aut C2whose time one map φ1equalsg. For affine aperiodicgwe find all such subgroups whose infinitesimal generator ispolynomial. We also classify one parameter subgroups of the shear groupss(2)andS(2) on the planeC2.

ISSN:0278-1077    

DOI:10.1080/17476939508814821

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

In this paper, a general definition of factorization of meromorphic functions of several variables is given. We have proved a general Malmquist type theorem of partial differential equations and prove the pseudo-prime ness of meromorphic solutions of system of Riccati partial differential equations with polynomial coefficients. Also it is proved that any finite order meromorphic solution of linear partial differential equations with rational coefficients must be pseudo-prime. The main tool used in the paper is Nevanlinna type of higher-dimensional value distribution theory.

ISSN:0278-1077    

DOI:10.1080/17476939508814822

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939508814816

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor