Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-24T01:09:13.192Z Has data issue: false hasContentIssue false

Two sets of conditions for expansion in a Laurent's series

Published online by Cambridge University Press:  24 October 2008

Margaret Delina Kennedy
Affiliation:
Newnham College

Extract

Let f(z) be a single-valued function of z, defined in the domain D given by ; suppose that f(z) is integrable in the general Denjoy sense round all circles with centre ζ lying in D, and along all portions of radial lines intercepted between two such circles.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1928

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Looman, H., Göttinger Nachrichten (1923), 98108.Google Scholar
2.Pollard, S., Proc. Camb. Phil. Soc. 24 (1928), 3537.Google Scholar
3.Privaloff, I. I., Rendiconti di Palermo, 41 (1916), 202205.Google Scholar
4.Young, W. H., Proc. London Math. Soc. (2), 10 (1912), 16.Google Scholar