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http://hdl.handle.net/1783.1/1591
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| Title: | on the zeros of ∑ aiexpgi |
| Authors: | Ng, Tuen-Wai
Yang, Chung-Chun |
| Keywords: | Zero set
Entire function
Borel theorem
Upper half-plane
Nevanlinna theory |
| Issue Date: | 1997 |
| Citation: | Proceedings of the Japan Academy. Series A, Mathematical sciences, v. 73, 1997, p. 137-139 |
| Abstract: | We consider entire functions of the form f = ∑ aiegi, where ai(≠0), gi are entire functions and the orders of all ai are less than one. If all the zeros of f are real, then f = eg ∑ aiehi where hi are linear functions. Using this result, we can prove that f = aieg if all zeros of f are positive, which also generalizes a result obtained by A. Eremenko and L. A. Rubel. |
| Rights: | © The Japan Academy. Reproduced with permission. |
| URI: | http://hdl.handle.net/1783.1/1591 |
| Appears in Collections: | MATH Journal/Magazine Articles
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Size | Format |
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| zero.pdf | | 313Kb | Adobe PDF | View/Open |
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