On functions defined by a Taylor series
This thesis consists in greater part (Theorem B to Theorem K) of a number of new results which state conditions that a function defined by a Taylor series be of a certain form. In particular Theorems I and K are concerned with the form of certain entire functions. In Theorem L we prove a new result...
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2007
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| Online Access: | http://hdl.handle.net/1911/18225 |
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ndltd-RICE-oai-scholarship.rice.edu-1911-182252013-10-23T04:07:53ZOn functions defined by a Taylor seriesCowling, Vincent FrederickMathematicsThis thesis consists in greater part (Theorem B to Theorem K) of a number of new results which state conditions that a function defined by a Taylor series be of a certain form. In particular Theorems I and K are concerned with the form of certain entire functions. In Theorem L we prove a new result similar in nature to the composition theorems of Hadamard and Hurwitz. The last result is Theorem M. In this theorem a new necessary condition is given that a function defined by a Taylor series have one singularity in the finite plane.2007-08-21T00:59:25Z2007-08-21T00:59:25Z1944ThesisTextapplication/pdfhttp://hdl.handle.net/1911/18225eng |
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NDLTD |
| language |
English |
| format |
Others
|
| sources |
NDLTD |
| topic |
Mathematics |
| spellingShingle |
Mathematics Cowling, Vincent Frederick On functions defined by a Taylor series |
| description |
This thesis consists in greater part (Theorem B to Theorem K) of a number of new results which state conditions that a function defined by a Taylor series be of a certain form. In particular Theorems I and K are concerned with the form of certain entire functions. In Theorem L we prove a new result similar in nature to the composition theorems of Hadamard and Hurwitz. The last result is Theorem M. In this theorem a new necessary condition is given that a function defined by a Taylor series have one singularity in the finite plane. |
| author |
Cowling, Vincent Frederick |
| author_facet |
Cowling, Vincent Frederick |
| author_sort |
Cowling, Vincent Frederick |
| title |
On functions defined by a Taylor series |
| title_short |
On functions defined by a Taylor series |
| title_full |
On functions defined by a Taylor series |
| title_fullStr |
On functions defined by a Taylor series |
| title_full_unstemmed |
On functions defined by a Taylor series |
| title_sort |
on functions defined by a taylor series |
| publishDate |
2007 |
| url |
http://hdl.handle.net/1911/18225 |
| work_keys_str_mv |
AT cowlingvincentfrederick onfunctionsdefinedbyataylorseries |
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