This item appears in the following Collection(s)
- Doctoral Dissertations [1523]
Title | Discrete analytic functions on a radial lattice |
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Author | West, Ronald Eual |
Date | 1979 |
Genre | Dissertation |
Degree | Doctor of Philosophy |
Abstract | In 1944, J. Ferrand introduced the concept of a discrete analytic function. Many properties of discrete analytic functions were developed by R. J. Duffin in 1956. In the first part of this dissertation convergence properties of pseudo-power series are discussed and a proof is offered for an important inequality involving pseudo-powers. The next part of the paper discusses a group of transformations on the discrete analytic functions. Finally, the theory of discrete analytic functions on a radial lattice is developed. |
Link | https://repository.tcu.edu/handle/116099117/33833 |
Department | Mathematics |
Advisor | Deeter, Charles R. |