No CrossRef data available.
Article contents
The asymptotic periods of integral and meromorphic functions
Published online by Cambridge University Press: 20 January 2009
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.
In a former paper published in these Proceedings it was shown that an integral function of order less than 1 cannot have any asymptotic periods, and it was suggested that a function of order 1 can have at most a set Kω(k=±1, ±2, …). This was subsequently found to be the case. Meromorphic functions for which K, the exponent of convergence of the poles, is less than ρ, the order, behave in many ways like integral functions, so we should expect that (i) if 0≦κ<ρ1 there should be no asymptotic periods, (ii) 0≦κ<ρ1 either none or else a single sequence kω(k = ±1, ±2, …). It will be shown that this is so.
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 1936
References
page 254 note 1 3 (1933), 241–258.
page 254 note 2 Whifctaker, J. M., Interpolatory Function Theory (Cambridge Tract No. 35, 1935), 86. This work will be referred to as T.Google Scholar
page 255 note 1 Math. Ann., 97 (1927), 677–695.CrossRefGoogle Scholar
page 255 note 2 Journal London Math. Soc., 10 (1935), 210–212.Google Scholar
page 257 note 1 Quart. J. of Math. (Oxford), 5 (1934), 34–42.Google Scholar
You have
Access