| dc.contributor.advisor | Deeter, Charles R. | |
| dc.contributor.author | West, Ronald Eual | en_US |
| dc.date.accessioned | 2019-10-11T15:11:02Z | |
| dc.date.available | 2019-10-11T15:11:02Z | |
| dc.date.created | 1979 | en_US |
| dc.date.issued | 1979 | en_US |
| dc.identifier | aleph-441699 | en_US |
| dc.identifier.uri | https://repository.tcu.edu/handle/116099117/33833 | |
| dc.description.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. | |
| dc.format.extent | v, 54 leaves, bound : illustrations | en_US |
| dc.format.medium | Format: Print | en_US |
| dc.language.iso | eng | en_US |
| dc.relation.ispartof | Texas Christian University dissertation | en_US |
| dc.relation.ispartof | AS38.W46 | en_US |
| dc.subject.lcsh | Analytic functions | en_US |
| dc.title | Discrete analytic functions on a radial lattice | en_US |
| dc.type | Text | en_US |
| etd.degree.department | Department of Mathematics | |
| etd.degree.level | Doctoral | |
| local.college | College of Science and Engineering | |
| local.department | Mathematics | |
| local.academicunit | Department of Mathematics | |
| dc.type.genre | Dissertation | |
| local.subjectarea | Mathematics | |
| dc.identifier.callnumber | Main Stacks: AS38 .W46 (Regular Loan) | |
| dc.identifier.callnumber | Special Collections: AS38 .W46 (Non-Circulating) | |
| etd.degree.name | Doctor of Philosophy | |
| etd.degree.grantor | Texas Christian University | |
