Please use this identifier to cite or link to this item: http://hdl.handle.net/1783.1/1591
On the zeros of Sigma a(i)expg(i)
Authors  Ng, TW
Yang, CC 


Issue Date  1997  
Source  PROCEEDINGS OF The Japan Academy Series amathematical sciences, v. 73, (7), 1997, SEP, p. 137139  
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.  
Subjects  
ISSN  03862194  
Rights  © The Japan Academy. Reproduced with permission.  
Language  English 

Format  Article  
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