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SIAM Review
Article . 1976 . Peer-reviewed
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https://dx.doi.org/10.1137/101...
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Fractional Derivatives and Special Functions

Fractional derivatives and special functions
descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1976 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Review, volume 18, pages 240-268 (issn: 0036-1445, eissn: 1095-7200, Copyright policy )
Authors: Lavoie, J. L.; Osler, T. J.; Tremblay, R.;

doi: 10.1137/1018042

Fractional Derivatives and Special Functions

Abstract

The fractional derivative operator is an extension of the familiar derivative operator $D^n $ to arbitrary (integer, rational, irrational, or complex) values of n. The most important representation...

Keywords

Fractional derivatives and integrals, Special functions, Special integral transforms (Legendre, Hilbert, etc.)

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    selected citations
    These citations are derived from selected sources.
    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).
    		 161
    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.
    		 Top 1%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
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!
161
Top 1%
Top 1%
Average
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