René's URL Explorer Experiment


Title: Log Gamma Function -- from Wolfram MathWorld

Open Graph Title: Log Gamma Function -- from Wolfram MathWorld

X Title: Log Gamma Function -- from Wolfram MathWorld

Description: The plots above show the values of the function obtained by taking the natural logarithm of the gamma function, lnGamma(z). Note that this introduces complicated branch cut structure inherited from the logarithm function. For this reason, the logarithm of the gamma function is sometimes treated as a special function in its own right, and defined differently from lnGamma(z). This special "log gamma" function is implemented in the Wolfram Language as LogGamma[z], plotted above....

Open Graph Description: The plots above show the values of the function obtained by taking the natural logarithm of the gamma function, lnGamma(z). Note that this introduces complicated branch cut structure inherited from the logarithm function. For this reason, the logarithm of the gamma function is sometimes treated as a special function in its own right, and defined differently from lnGamma(z). This special "log gamma" function is implemented in the Wolfram Language as LogGamma[z], plotted above....

X Description: The plots above show the values of the function obtained by taking the natural logarithm of the gamma function, lnGamma(z). Note that this introduces complicated branch cut structure inherited from the logarithm function. For this reason, the logarithm of the gamma function is sometimes treated as a special function in its own right, and defined differently from lnGamma(z). This special "log gamma" function is implemented in the Wolfram Language as LogGamma[z], plotted above....

Opengraph URL: https://mathworld.wolfram.com/LogGammaFunction.html

X: @WolframResearch

direct link

Domain: mathworld.wolfram.com

DC.TitleLog Gamma Function
DC.CreatorWeisstein, Eric W.
DC.Description The plots above show the values of the function obtained by taking the natural logarithm of the gamma function, lnGamma(z). Note that this introduces complicated branch cut structure inherited from the logarithm function. For this reason, the logarithm of the gamma function is sometimes treated as a special function in its own right, and defined differently from lnGamma(z). This special "log gamma" function is implemented in the Wolfram Language as LogGamma[z], plotted above....
DC.Date.Created2005-01-15
DC.Date.Modified2008-09-26
DC.Subject33E20
DC.RightsCopyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement.
DC.Formattext/html
DC.Identifierhttps://mathworld.wolfram.com/LogGammaFunction.html
DC.Languageen
DC.PublisherWolfram Research, Inc.
DC.Relation.IsPartOfhttps://mathworld.wolfram.com/
DC.TypeText
Last-Modified2008-09-26
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og:typewebsite
twitter:cardsummary_large_image
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branch cuthttps://mathworld.wolfram.com/BranchCut.html
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https://functions.wolfram.com/GammaBetaErf/LogGamma/https://functions.wolfram.com/GammaBetaErf/LogGamma/
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A075700http://oeis.org/A075700
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