ISSN:0278-1077    

DOI:10.1080/17476939208814540

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

Answering two questions ot Rubei, we prove that there are unbounded plane domains which are notconformally or anticonformally equwalent but whose semigroups of analytic endomorphisms are isomorphic. Further we show that ifhis a one-to-one map of the plane onto itself, which is not initially assumed to be continilolus, such thath∘f∘h-1is entire wheneverfis entirc, thenhis a linear polynomial inzor inz

ISSN:0278-1077    

DOI:10.1080/17476939208814541

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

In this paper we deal with the Hadamard Multiplication Theorem concerning the analytic continuation of the Hadamard product of two power series. We prove a refincment of this theorem which enables us to extend the Borel-Okada Theorem on analytic continuation by summability methods such that the “test function” 1/(1 -z) can be rcpiaced by more general hoiomorphic functions.

ISSN:0278-1077    

DOI:10.1080/17476939208814542

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

In the paper we investigate admissible limits, both pointwise adn inLp, of the invariant potentialson the unit ballBinCn, which for suitablefand α are defined by. WhereGis the Green's function for the Laplace-Beltrami operator onB, and λ is the invariant measure onB.

ISSN:0278-1077    

DOI:10.1080/17476939208814543

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

Conditions are invertigated, under which a function, is asymptotically equivalent to a power series with non-negative coefficients.

ISSN:0278-1077    

DOI:10.1080/17476939208814544

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

There exists a function ψ(r) which is ∼(r/2π) exp (π/2r) for 0<r⩽1 with the following property: Iffis a function analytic in the unit dise such that its rangew(f) is contained in a rectangleRwith sidesaandbb≤a, andW(f) touches both small sides ofR, then supremum norn of the derivative satisfies. Examples show that this estimate is best possible up to a factor of about 2.

ISSN:0278-1077    

DOI:10.1080/17476939208814545

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

La transformation [Gtilde], obtenue en modifiant tégérement le noyau figurant dans la transformationGd'Avanissian-Gay des fonctionnells analytiques (Cf. [2]), permet d'énoncer an théorème d' et la formule d'interpolation d'Abel pour des fonctions entières àNvariables de type exponentiel <1. Elle permet en outre de donner une interprétation de certaines fonctions spécials on termes de fonetionnelles analytiques.

ISSN:0278-1077    

DOI:10.1080/17476939208814546

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

Letfandgbe nonconstant meromorphic functions sharing four valuesa1,…a4. If every simpleav-point offis anav-point offwith multiplicity at least three (v=1, …,4) thenf=L∘F∘,handg=L∘G∘,h, whereLis a Möbius transformationhis an entire function andFandGare given pair of elliptic functions sharing the values 0, 1, ∞ and -1 DM.

ISSN:0278-1077    

DOI:10.1080/17476939208814547

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

The paper contains the discussion of invariance properties of differential operators describing monogenic differential forms which are generalizations of holomorphic differential forms appcaring L! stanciaid com- plex analqsis. It relates the approach by Stein and Weiss to generalized Cauchy-Ricmam equations and the description of monogenic differential forms given recently by Sommen and Souček.

ISSN:0278-1077    

DOI:10.1080/17476939208814548

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

We have established a general result on the relation of two deficiencies of a system of entire functions of order less than one. Particularly an analogue of resulf of Sato's for algebrold functions is derived.

ISSN:0278-1077    

DOI:10.1080/17476939208814549

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor