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A note on a discrete analytic function

Published online by Cambridge University Press:  17 April 2009

C.J. Harman
C.J. Harman
Affiliation:
Department of Supply, Weapons Research Establishment, Salisbury, South Australia, and Department of Mathematics, University of Adelaide, Adelaide, South Australia.
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An unsolved problem in discrete analytic function theory has been to find a suitable analogue of the function . An analogue z(α), of the function zα, is found here for discrete analytic functions of the first kind (or monodiffric functions). This function resolves a conjecture of Isaacs in the negative, and at the same time it introduces multi-valued functions into the discrete analytic theory.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 10 , Issue 1 , February 1974 , pp. 123 - 134
Copyright
Copyright © Australian Mathematical Society 1974

References

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