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On the Asymptotic Periods of Integral Functions

Published online by Cambridge University Press:  24 October 2008

Sheila Scott
Affiliation:
Girton College

Extract

A period of a function f(z) is defined to be a number ω (≠ 0) such that

is identically zero; and it can be shown that an integral function may either have no periods or else a single sequence kλ (k = ± 1, ± 2, …).

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1935

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References

* Whittaker, J. M., Proc. Edinburgh Math. Soc. 3 (1933), 241–58CrossRefGoogle Scholar; 4 (1934), 77–8.

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Ibid., p. 8.

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* See F., and Nevanlinna, R., Acta Soc. Sci. Fen. 50 (1922), 22Google Scholar. Replace the imaginary by the real axis and write ø = θ − π/2.

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* Whittaker, J. M., “On the asymptotic periods of integral functions”, Proc. Edinburgh Math. Soc. 3 (1933), 241258.CrossRefGoogle Scholar

Loc. cit. p. 242.