摘要:

In this paper Neumann type problems are investigated for monogenic functions and for solutions of nonhomogenwus Dirac equations in the upper half space of, in both the classical sense andLPsense. For each Neumann type problem, a representation of the solution, unique up to a Clifford constant, is obtained.

ISSN:0278-1077    

DOI:10.1080/17476939308814670

出版商:Gordon and Breach Science Publishers    

年代:1993

数据来源: Taylor

摘要:

This paper considers boundaries of simply connected domains in C that admit an infinite number of intrinsic rotations about some point. The resuIts have applications to the unsolved problem of whether the boundary of a Siegel disk of a rational function must be a Jordan curve.

ISSN:0278-1077    

DOI:10.1080/17476939308814671

出版商:Gordon and Breach Science Publishers    

年代:1993

数据来源: Taylor

摘要:

Letfbe an entire function of positive and finite lower orderareq(1 ≤q< + ∞) rays issued from the origin. Iffandf(l)(l= 1, 2 …) have no Borel direction of order ≥ μ except for, then the sum of the numbers of the finite nonzero deficient values off and all its primitives and derivatives is smaller than 2μ. The proof is based on several lemmas and application of harmonic measure.

ISSN:0278-1077    

DOI:10.1080/17476939308814672

出版商:Gordon and Breach Science Publishers    

年代:1993

数据来源: Taylor

摘要:

LetL2(D,dμα)(α > -1) be the space of square integrable functions on the unit diskDof complex plane with respect to the weighted measure. From the view point of the Cauchy-Riemann operatord/d[zbar]and group representation we construct an orthogonal decompositionvia the Jacobi polynomials such thatA0. andĀ0are just the (weighted) Bergman and anti-Bergman spaces respectively. Then we define three kinds of lbeplitz and Hankel type operators and develop boundedness, compactness andSp-criteria for them.

ISSN:0278-1077    

DOI:10.1080/17476939308814673

出版商:Gordon and Breach Science Publishers    

年代:1993

数据来源: Taylor

摘要:

This paper is a continuation of [q and [B], where the Fredholm property for boundary value problems of Riemann-Hilbert type was investigated. At first we give a short summary of previous results needed here. The adjoined boundary value problem is introduced in Section 2, and several connections between the two boundary vlaue problems are derived.

ISSN:0278-1077    

DOI:10.1080/17476939308814674

出版商:Gordon and Breach Science Publishers    

年代:1993

数据来源: Taylor

摘要:

We consider the class of equations of the form (*)w′′ +A(z)w= 0, whereA(z) is a nonconstant entire periodic function (where, for convenience, we take the period to be 27φi), and where we assume thatA(z) is a rational function ofez. The solutions of such equations are entire functions of infinite order of growth, but such equations can possess one or two linearly independent solutions each of whose zero-sequences has a finite exponent of convergence. In this paper, we develop a method which involves using only the simple technique of undetermined coefficients, which can test any equation (*) for the existence of a solution whose zero-sequence has a finite exponent of convergence. The method will also produce explicitly any such solution.

ISSN:0278-1077    

DOI:10.1080/17476939308814675

出版商:Gordon and Breach Science Publishers    

年代:1993

数据来源: Taylor

摘要:

In this paper we apply hypercomplex function theoretic results for the treatment of boundary value problems (BVP) of a non-linear equation of Dirac's type disturbed by potentials.

ISSN:0278-1077    

DOI:10.1080/17476939308814676

出版商:Gordon and Breach Science Publishers    

年代:1993

数据来源: Taylor

摘要:

Upper bounds for the logarithmic derivative of a fast growing meromorphic function in the complex plane C as well as in a finite circleD= {z: |z| <R< ∞} are established.

ISSN:0278-1077    

DOI:10.1080/17476939308814677

出版商:Gordon and Breach Science Publishers    

年代:1993

数据来源: Taylor

摘要:

Suppose thatf=QePwhereQis a real rational function andPis a polynomial, not necessarily real, and that f has only real zeros. We prove that thenP(z) = –az2+ bz + c wherea≥ 0 andbis real, orf(z) =AeBzwhereAandBare nonzero complex constants.

ISSN:0278-1077    

DOI:10.1080/17476939308814678

出版商:Gordon and Breach Science Publishers    

年代:1993

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939308814669

出版商:Gordon and Breach Science Publishers    

年代:1993

数据来源: Taylor