摘要:

In this paper the author obtains some sufficient conditions of starlikeness for mappings of C1class, defined on some bounded domains in.

ISSN:0278-1077    

DOI:10.1080/17476939808815094

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

In the present paper we introduce the concept of an asymptotic annihilator of an entire function and obtain for the case of asymptotic annihilators a version of a theorem of D. Drasin [1] on asymptotic periods of entire functions.

ISSN:0278-1077    

DOI:10.1080/17476939808815095

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

In these notes we generalize the following result due to R. Accola: Given a hyperelliptic Riemann surfaceSof genusg⩽2 andna non-negative integer, there is a smoothn-sheeted covering, whereRis a hyperelliptic Riemann surface. We show that the above result extends to the family of η-hyperelliptic Riemann surfaces as: Given a η-hyperelliptic Riemann surfaceSof genusg⩽2, a η-hyperelliptic involution τ:S→Sand a non-negative integern, there is a smoothn-sheeted covering, whereRis ahyperelliptic Riemann surface for which τ lifts as a-hyperelliptic involution, and

ISSN:0278-1077    

DOI:10.1080/17476939808815096

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

A minimality property of the Leibenzon solution for the Gleason problem in the complex ball is proved.

ISSN:0278-1077    

DOI:10.1080/17476939808815097

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

We find the rates of convergence of sequences of rational convergents for continued fractions of algebraic numbers of degree 2, the quadratic irrationals.

ISSN:0278-1077    

DOI:10.1080/17476939808815098

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

We consider certain type of Kleinian groups called noded Fuchsian groups. Torsion-free noded Fuchsian groups are divided into two families called noded Schottky groups and noded πggroups, respectively. The extended region of discontinuity is defined together a cuspidal topology. We show that these groups uniformize stable Riemann surfaces and generalize some classical results on torsion-free co-compact Fuchsian groups and Schottky groups to the above ones.

ISSN:0278-1077    

DOI:10.1080/17476939808815099

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

LetMbe a connected taut complex manifold of dimensionnand letDbe a bounded balanced pseudoconvex domain inwith continuous Minkowski function. Assume that there exist a finite number of complex hyperplanesHjthrough the origin such that every point ofis an extreme point for . Letf:→Dbe a holomorphic map. Letpbe a point ofM. Assume thatf(p) = 0 and thatdfpis an isometry for the infinitesimal Kobayashi metric. In this case, we will show thatfis a biholomorphic map.

ISSN:0278-1077    

DOI:10.1080/17476939808815100

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

The authors determine conditions for close-to-convexity (and, in particular, univalence), convexity and starlikeness of confluent hypergeometric functions. Several new examples are considered for the univalence question for the series of the formespecially when the coefficientsanare real and non-negative for eachn⩽2.

ISSN:0278-1077    

DOI:10.1080/17476939808815101

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor