摘要:

This paper deals with four special classes of functions, which are defined in discsand can be represented there in the formDg. whereDin each case is a differential operator of the typeoperating on holomorphic functions.

ISSN:0278-1077    

DOI:10.1080/17476938508814098

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

摘要:

Letwbe a meromorphic function

ISSN:0278-1077    

DOI:10.1080/17476938508814099

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

摘要:

One of the most important possibilities to represent a solution of the Vekua-equationis the factorizing-method where in w=esf—the so-called similarity-principle—the Hölder-continuous functionsturns out to be unique with the exception of a holomorphic function and wherefitself is holomorphic. By L. Bers' method to explain those solutions by virtue of a generating system, say (F,G), which involves a pseudo-holomorpliic functionw=Fφ+Gψ,φ,ψ real, one can show that even (es, ies) is such a system which will be called a main generating system. Using such systems and considering a certain extension of the path of integration one even in the theory of pseudo-holomorphic functions can deal with a theory of residues.

ISSN:0278-1077    

DOI:10.1080/17476938508814100

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

摘要:

This paper deals with the transformation of Bergman kernels. If we associate to a formally-hyperbolic differential equation another one of the same type by a differential operator we can declare in which way the Bergman kernels are transformed. Further-more. conditions are determined, so that the Bergman kernel of the first kind of the initial equation will be mapped on another one of the same class. An example is given.

ISSN:0278-1077    

DOI:10.1080/17476938508814101

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

摘要:

We investigate the radius of convexity of the functionsfor normalized convex univalent functionsfin the unit disc. The result is used to solve a mapping problem for solutions of the Peschl—Bauer equation.

ISSN:0278-1077    

DOI:10.1080/17476938508814102

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

摘要:

LetS. K. Tdenote the classes of normalized univalent, convex and typically real functions resp. in the unit disk. It will be shown that there exists a polynomialp ∈ S ∩ Tof degree 6 and a functiong ∈ K ∩Tsuch thatp*g ∉ Swhere * denotes the Hadamard product. Moreover there is a polynomialq ∈ Sof degree 3 and a functionh ∈ Ksuch thatq*h ∉ S..

ISSN:0278-1077    

DOI:10.1080/17476938508814103

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476938508814097

出版商:Gordon and Breach Science Publishers    

年代:1985

数据来源: Taylor