International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 2, Pages 371-381
doi:10.1155/S0161171281000239
Yet another characterization of the sine function
Robert Gervais1
and Lee A. Rubel2
1Département de Mathématiques, Collège militaire royal de Saint-Jean, Saint-Jean J0J 1R0, Québec, Canada
2Department of Mathematics, University of Illinois, Urbana 61801, Illinois, USA
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 Asin(Bz+C).