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Properties of the L function

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1982 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Studia Mathematica, volume 74, pages 105-121 (issn: 0039-3223, eissn: 1730-6337, Copyright policy )
Authors: Jan Gustavsson; Jaak Peetre;

doi: 10.4064/sm-74-2-105-121

Properties of the L function

Abstract

We study the function $L(t) = inf_{0 < x < 1}(x^p + t(1-x)^q)$ and related functions which arise in the theory of interpolation spaces.

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Keywords

analytic continuation, L function, interpolation space, Legendre transform, Special integral transforms (Legendre, Hilbert, etc.), Euler's beta function, Other special functions, Gamma, beta and polygamma functions, Analytic continuation of functions of one complex variable

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
bronze
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