Some theorems on fractional integrals
Published online by Cambridge University Press: 24 October 2008
Extract
1. Let φ(z) be regular in │z│ < 1, let
and for any real α let
where (in)−α = n−α exp(— ½απi). The function φα is an adaptation to power series of the Weyl fractional integral of order a of α function of a real variable.† It exists and is regular in │z│ < 1 for all α. Let also
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 55 , Issue 1 , January 1959 , pp. 31 - 50
- Copyright
- Copyright © Cambridge Philosophical Society 1959
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