On Frullani Integrals
Published online by Cambridge University Press: 24 October 2008
Extract
The object of this note is to obtain necessary and sufficient conditions for the existence of
on the assumption that ø is integrable in any finite positive interval not including zero (0 < α ≤ x ≤ β < ∞). On reference to the literature on the topic, I find no exhaustive analysis of this problem anywhere.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 37 , Issue 1 , January 1941 , pp. 9 - 13
- Copyright
- Copyright © Cambridge Philosophical Society 1941
References
* See, for example, Hardy, , Messenger of Math. 34 (1905), 11–18;Google ScholarBromwich, , Infinite series, 2nd ed. (1926), 479;Google ScholarPoussin, de la Vallée, Cours d'analyse, 6th ed. (1926), ii, 34.Google Scholar
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