Yet another characterization of the sine function

Robert Gervais and Lee A. Rubel

International Journal of Mathematics and Mathematical Sciences, 1981, vol. 4, 1-11

Abstract:

In this expository paper, it is shown that if an entire function of exponential type vanishes at least once in the complex plane and if it has exactly the same number of zeros (counting multiplicities) as its second derivative, then this function must take the form A sin ( B z + C ) .

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:395765

DOI: 10.1155/S0161171281000239

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