摘要:

Relations between the relative growth of Nevanlinna characteristic functions and the order (or lower order)of some meromorphic functions are discussed of some meromorphic functions are discussed.

ISSN:0278-1077    

DOI:10.1080/17476939508814801

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

In the present paper the authors prove a Parseval-Goldstein type theorem involving the Glasser transform, theK-transform of order zero, and the Fourier cosine transform. The theorem is then shown to yield a number of new identities on the Glasser transform, the Fourier cosine transform, theK-transform of order zero, the Laplace transform, and the Widder potential transform. Using the theorem and its corollaries, a number of interesting infinite integrals of elementary and special functions are presented. Some illustrative examples are also given.

ISSN:0278-1077    

DOI:10.1080/17476939508814802

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

Quaternion-valued functions of 3 and 4 real variables arc studied which form exact analogues of the class of all holomorphic (or anti-holomorphic) functions and which are called hyperholomorphic- The set of such analogues is parametrizable by the groupdepending on the number of variables. Connections between various classes of hyperholomorphic functions are established, and some basic facts of the function theory are given. Properties of the singular integral operator with the quaternionic Cauchy kernel are treated and commented in detail.

ISSN:0278-1077    

DOI:10.1080/17476939508814803

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

Let H(Ω) be the space of analytic functions on a complex region Ω. In this paper, we characterize the sequences {ϕn}n≥1of automorphisms of Ω with the following property:There existsfεH(Ω) such that the orbit {f˚ ϕn}n≥1is dense inH(Ω). Some known results are derived and some new others are obtained.

ISSN:0278-1077    

DOI:10.1080/17476939508814804

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

LetRbe a Riemann surface which has a hyperbolic structure and letl1andl2be two distinct closed geodesies onR. Supposel1intersectsl2and start from one intersection point. We can form a new closed curvel1˚l-12˚l-1˚l2. In this paper, we study the geometric relations among the three curves and three equivalent phenomena are presented.

ISSN:0278-1077    

DOI:10.1080/17476939508814805

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

We study some algebras generated by the singular integral operator with the quaternionic Cauchy kernel and the multiplication operators by continuous or piece-wise continuous functions. This allows us to describe the Fredholm theory of hyperholomorphic Riemann boundary value problems whose formulations take into account both the non-commutativity of the quaternionic multiplication and the existence of various classes of hyperholomorphic functions. Certain classes of hyperholomorphic Toenlitz operators are also studied.

ISSN:0278-1077    

DOI:10.1080/17476939508814806

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939508814800

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor