摘要:

ZNehari's theorem identifies the precise geometrical connection between the singularities of analytic Legendre series inCzand those of associated Taylor's series inCt. Recent generalizations consider the singularity problem for analytic series of products or triple products of Legendre polynomials. This paper completes the analysis by developing the analogous theorem for analytic series of products ofNLegendre polynomials inCz1×…×znfor N=4,5,…(Nfixed).

ISSN:0278-1077    

DOI:10.1080/17476939708815051

出版商:Gordon and Breach Science Publishers    

年代:1997

数据来源: Taylor

摘要:

In this paper we discuss several ways to define q-deformed versions of Clifford analysis, leading to q-deformed Dirac operators.

ISSN:0278-1077    

DOI:10.1080/17476939708815052

出版商:Gordon and Breach Science Publishers    

年代:1997

数据来源: Taylor

摘要:

LetAnbe the family of normalized regular functions f, where f(z)=z+an+1zn+1+…, in the unit disc Δ and letS(α) andTλbe the families of functionsfsuch thatrespectively.S(α) is the class of strongly starlike functions. Further, letS*(α) denote the well-known family of starlike functions of order α. The purpose of this paper is to find conditions so that 1.satisfyingsatisfying. 2.satisfyingis inS(α) or in3.satisfyingis inS(α) or inS*(α); 4.satisfying Re f′(z)≥1−λ1,|g′(z)−1|≤λ2, implyz(f*g)′ is inS(α). The results of this paper extend the previously known results and improve some criteria for starlike functions. These are then used to obtain new information for uniformly convex functions and Bemardi integral transform.

ISSN:0278-1077    

DOI:10.1080/17476939708815053

出版商:Gordon and Breach Science Publishers    

年代:1997

数据来源: Taylor

摘要:

In this paper we investigate several interesting properties of the fractional calculus operators, the Carlson-Shaffer linear operator L(a,c) and a certain integral operator, associated with various subclasses of analytic and univalent functions. We also investigate the relationships of some of these classes with the Hardy spaceH∞(of bounded analytic functions in the open unit disk μ and with some families of multiplier transformations.

ISSN:0278-1077    

DOI:10.1080/17476939708815054

出版商:Gordon and Breach Science Publishers    

年代:1997

数据来源: Taylor

摘要:

Let Ω be a complex submanifold withC3pseudoconvex boundary such that there is a function λεC3which is strongly plurisubharmonic in a neighborhood of the boundary of Ω. We prove the Oka-Weil approximation theorem on Ω. Also we show that Ω is holomorphically convex and that the plurisubharmonic hull and the holomorphic hull coincide for Ω. The methods of proof of the above results rely on the elementary-estimates introduced by Hörmander ([2], [3])

ISSN:0278-1077    

DOI:10.1080/17476939708815055

出版商:Gordon and Breach Science Publishers    

年代:1997

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939708815050

出版商:Gordon and Breach Science Publishers    

年代:1997

数据来源: Taylor