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Sequences characterizing the sine function

Published online by Cambridge University Press:  24 October 2008

H. Burkill
H. Burkill
Affiliation:
University of Sheffield
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Extract

Recently J. Roe(1) established the striking characterization of the sine and cosine functions given in Theorem 1 (below). His proof was an ingenious application of Fourier transforms of generalized functions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 89 , Issue 1 , January 1981 , pp. 71 - 77
Copyright
Copyright © Cambridge Philosophical Society 1981

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References

(1)Roe, J.A characterization of the sine function. Math. Proc. Cambridge Philos. Soc. 87 (1980), 69–73.CrossRefGoogle Scholar