Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-05-20T10:50:52.806Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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