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A local form of the Phragmén-lindelöf indicator

Published online by Cambridge University Press:  26 February 2010

Albert Edrei
Albert Edrei
Affiliation:
Syracuse University, Syracuse, New York
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Extract

Let f(z) be an entire function. The definition of a Phragmén–Lindelöf indicator of f(z) requires the preliminary construction of a fairly regular comparison function V(r).

If f(z) is of order λ (0 < λ < + ∞), and of mean type, one takes

and associates with f(z) the indicator

Type
Research Article
Information
Mathematika , Volume 17 , Issue 1 , June 1970 , pp. 149 - 172
Copyright
Copyright © University College London 1970

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