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On the zeros of Sigma a(i)expg(i)

Authors Ng, TW
Yang, CC HKUST affiliated (currently or previously)
Issue Date 1997
Source PROCEEDINGS OF The Japan Academy Series a-mathematical sciences , v. 73, (7), 1997, SEP, p. 137-139
Summary We consider entire functions of the form f = Sigma a(i)e(gi), where a(i)(not equivalent to 0), g(i) are entire functions and the orders of all ai are less than one. If all the zeros of f are real, then f = e(g) Sigma a(i)e(hi), where h(i) are linear functions. Using this result, we can prove that f = a(i)e(g) if all zeros of f are positive, which also generalizes a result obtained by A. Eremenko and L. A. Rubel.
ISSN 0386-2194
Rights © The Japan Academy. Reproduced with permission.
Language English
Format Article
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