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SIAM Journal on Mathematical Analysis
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SIAM Journal on Mathematical Analysis
Article . 1979 . Peer-reviewed
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https://dx.doi.org/10.1137/051...
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The Asymptotic Expansion of the Incomplete Gamma Functions

The asymptotic expansion of the incomplete gamma functions
descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1979 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 10, pages 757-766 (issn: 0036-1410, eissn: 1095-7154, Copyright policy )
Authors: Temme, N. M.;

doi: 10.1137/0510071

The Asymptotic Expansion of the Incomplete Gamma Functions

Abstract

Earlier investigations on uniform asymptotic expansions of the incomplete gamma functions are reconsidered. The new results include estimations for the remainder and the extension of the results to complex variables.

Keywords

Asymptotic approximations, asymptotic expansions (steepest descent, etc.), incomplete gamma function, Gamma, beta and polygamma functions, asymptotic expansions

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    selected citations
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    		 65
    popularity
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    		 Top 10%
    influence
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Powered by OpenAIRE graph
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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!
65
Top 10%
Top 1%
Average
bronze