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On the asymptotic periods of integral functions

Published online by Cambridge University Press:  20 January 2009

J. M. Whittaker
J. M. Whittaker
Affiliation:
Pembroke College, Cambridge.
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A period of a function f(z) is defined to be a number w(≠0) such that

is identically zero; and it is not a difficult matter to show that an integral function may either have no periods or else a single sequence kλ, k = ±1, ±2, ….

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 3 , Issue 4 , August 1933 , pp. 241 - 258
Copyright
Copyright © Edinburgh Mathematical Society 1933

References

REFERENCES

1.Guichard, C. “Sur la résolution de l'équation aux différences finies G(x + 1) − G(x) = H(x),” Annales Sci. de I'Ecole Normale, 4 (1887), 361–380.Google Scholar
2.Nörlund, N. E.Sur la “somme” d'une fonetion (Paris, 1927).Google Scholar
3.Szegö, G. Pólya u. G.Avfgaben und Lehrsätze aus der Analytis, I, (Berlin, 1925).Google Scholar
4.Valiron, G.Integral Functions (Toulouse, 1923).Google Scholar