On the theorems of Gross and Iversen

Lohwater, A. J.

doi:10.1007/bf02787686

J. Anal. Math.

1959

DOI: 10.1007/bf02787686

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On the theorems of Gross and Iversen

A. J. Lohwater

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1961

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Cited by 5 publications

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“…The relationship between exceptional values and asymptotic values is described in the following result. From the proof of the previous theorem it follows that we may assume 5 > The subset of cluster set obtained by restricting the z n to lie on the arc. …”

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confidence: 99%

Cluster Sets of Pseudomeromorphic Functions

Storvick

1961

Nagoya Mathematical Journal

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We shall restrict our attention to functions w = f{z) defined and pseudomeromorphic in |z| < 1. We make no assumptions about the unit circle \z\ = 1, on which some of the points may be regular points, poles or essential singularities.The cluster set of f(z) at 2 0 , 1201 = 1, C(f f ZQ), is the set of all points a for which there exists a sequence {z n ), U«|<1, such that Iim2 n = zo and lim/(2n) = a.

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confidence: 99%

Cluster Sets of Pseudomeromorphic Functions

Storvick

1961

Nagoya Mathematical Journal

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Then-arc property for functions meromorphic in the disk

Mathews

1966

Math Z

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A note on the Silov boundary and the cluster sets of a class of functions inH ∞

Csordás

1973

Acta Mathematica Academiae Scientiarum Hungaricae

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On the theorems of Gross and Iversen

Cited by 5 publications

References 12 publications

Cluster Sets of Pseudomeromorphic Functions

Cluster Sets of Pseudomeromorphic Functions

Then-arc property for functions meromorphic in the disk

A note on the Silov boundary and the cluster sets of a class of functions inH ∞

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