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2.1.16.6.5 Gamma and Related Functions

Functions

Name	Brief	Example
beta	computes the beta function	Examples
gamma	Gamma function $\Gamma$ (x)	Examples
gammaln	This function returns the natural logarithm of the gamma function.	Examples
incomplete_gamma	Incomplete Gamma functions Command returned with error code 1 "latex.exe" --interaction=nonstopmode --aux-directory="D:\Temp\System/cedac30ade747bba9856a3a24240e006.6938df146b9240.80837043" --output-directory="D:\Temp\System/cedac30ade747bba9856a3a24240e006.6938df146b9240.80837043" "D:\Temp\System/cedac30ade747bba9856a3a24240e006.6938df146b9240.80837043/doc.tex" 2>&1 This is pdfTeX, Version 3.1415926-2.4-1.40.13 (MiKTeX 2.9 64-bit) entering extended mode </p><p>(D:/Temp/System/cedac30ade747bba9856a3a24240e006.6938df146b9240.80837043/doc.te x LaTeX2e <2011/06/27> Babel <v3.8m> and hyphenation patterns for english, afrikaans, ancientgreek, ar abic, armenian, assamese, basque, bengali, bokmal, bulgarian, catalan, coptic, croatian, czech, danish, dutch, esperanto, estonian, farsi, finnish, french, ga lician, german, german-x-2012-05-30, greek, gujarati, hindi, hungarian, iceland ic, indonesian, interlingua, irish, italian, kannada, kurmanji, latin, latvian, </p> <pre>lithuanian, malayalam, marathi, mongolian, mongolianlmc, monogreek, ngerman, n </pre> <p>german-x-2012-05-30, nynorsk, oriya, panjabi, pinyin, polish, portuguese, roman ian, russian, sanskrit, serbian, slovak, slovenian, spanish, swedish, swissgerm an, tamil, telugu, turkish, turkmen, ukenglish, ukrainian, uppersorbian, usengl ishmax, welsh, loaded. ("C:\Program Files\MiKTeX 2.9\tex\latex\base\article.cls" Document Class: article 2007/10/19 v1.4h Standard LaTeX document class ("C:\Program Files\MiKTeX 2.9\tex\latex\base\fleqn.clo") ("C:\Program Files\MiKTeX 2.9\tex\latex\base\size10.clo")) ("C:\Program Files\MiKTeX 2.9\tex\latex\base\inputenc.sty" ("C:\Program Files\MiKTeX 2.9\tex\latex\base\utf8.def" ("C:\Program Files\MiKTeX 2.9\tex\latex\base\t1enc.dfu") ("C:\Program Files\MiKTeX 2.9\tex\latex\base\ot1enc.dfu") ("C:\Program Files\MiKTeX 2.9\tex\latex\base\omsenc.dfu"))) ("C:\Program Files\MiKTeX 2.9\tex\latex\amsmath\amsmath.sty" For additional information on amsmath, use the `?' option. ("C:\Program Files\MiKTeX 2.9\tex\latex\amsmath\amstext.sty" ("C:\Program Files\MiKTeX 2.9\tex\latex\amsmath\amsgen.sty")) ("C:\Program Files\MiKTeX 2.9\tex\latex\amsmath\amsbsy.sty") ("C:\Program Files\MiKTeX 2.9\tex\latex\amsmath\amsopn.sty")) ("C:\Program Files\MiKTeX 2.9\tex\latex\amsfonts\amsfonts.sty") ("C:\Program Files\MiKTeX 2.9\tex\latex\amsfonts\amssymb.sty") No file doc.aux. ("C:\Program Files\MiKTeX 2.9\tex\latex\amsfonts\umsa.fd") ("C:\Program Files\MiKTeX 2.9\tex\latex\amsfonts\umsb.fd") ! Undefined control sequence. <recently read> \Rho </p><p>l.9 $\Rho </p> <pre> $ </pre> <p>[1] (D:\Temp\System\cedac30ade747bba9856a3a24240e006.6938df146b9240.80837043\doc.au x) ) (see the transcript file for additional information) Output written on D:/Temp/System/cedac30ade747bba9856a3a24240e006.6938df146b924 0.80837043/doc.dvi (1 page, 152 bytes). Transcript written on D:/Temp/System/cedac30ade747bba9856a3a24240e006.6938df146 b9240.80837043/doc.log. (a,x)	Examples
log_gamma	Log Gamma function ln( $\Gamma$ (x))	Examples
real_polygamma	Derivative of the psi function $\psi$ (x)	Examples
incbeta	Computes the incomplete beta function.	Examples
incgamma	computes the incomplete gamma function.	Examples