摘要:

Letfbe a meromorphic function of finite lower order. Suppose that the inverse functionf-1has a direct transcendental singularity atw=∞.Then there exists an asymptotic curve Г with the property:This is not true for the functions having only indirect singularities atw=∞.

ISSN:0278-1077    

DOI:10.1080/17476938508814116

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

摘要:

In this paper we investigate the following two extremal problems:

ISSN:0278-1077    

DOI:10.1080/17476938508814117

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

摘要:

This paper is the second part of an article [5], in which we formulated and investigated two extremal problems that are connected with the analytic continuation of a functionf(z). Here we prove that these problems possess unique solutions. Further we discuss the relation between the extremal problems and the Riemann surface defined by the analytic continuation of the functionf(z).

ISSN:0278-1077    

DOI:10.1080/17476938508814118

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

摘要:

In [11] and [12] we investigated two extremal problems that are connected with the analytic continuation of an analytic functionf(z). In this paper we show that the complementK0of the uniquely existing maximal domain for single-valued analytic continuation off(z) inhas a special structure::K0consists of the union of analytic arcs with a certain compact setE0, whereE0defined by the property that at every boundary point ofE0the analytic continuation off(z) has a singularity. The analytic arcs inK0˜E0are trajectories of a quadratic differential. If the functionf(z) is algebraic, then the setE0is finite and the quadratic differential specially simpie.

ISSN:0278-1077    

DOI:10.1080/17476938508814119

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

摘要:

We present a generalization of the Baouendi–Trèves integral formula for local holo-morphic approximation of CR functions on CR manifolds. Moreover we investigate the behavior of this integral formula under deformations of the integrand functions.

ISSN:0278-1077    

DOI:10.1080/17476938508814120

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

摘要:

Under some geometric and analytic conditions on a generic CR submanifold, it is proved that there exists a neighborhood Ω ofwith the following property: For any strongly pseudoconvex domainany smooth CR function can be uniformly approximated onby functions holomorphic onDbar:.

ISSN:0278-1077    

DOI:10.1080/17476938508814121

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476938508814115

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor