Difference between revisions of "Manuals/calci/GAMMALN"

Latest revision as of 03:58, 12 August 2020

GAMMALN(x)

is the number.
- GAMMALN(), returns the natural logarithm of the Gamma Function.

This function gives the natural logarithm of the absolute value of the Gamma Function.
The functions Digamma and Trigamma are the first and second derivatives of the logarithm of the Gamma Function.
This is often called the Polygamma function.
Gamma, Lgamma, Digamma and Trigamma functions are internal generic primitive functions.
Normally the number $etothepower{GAMMALN(x)}$ , where $x$ is an integer, is same as $(x-1)!$ .

GAMMALN=LN(\Gamma (x)

,

where

\Gamma (x)=\int \limits _{0}^{\infty }t^{x-1}e^{-t}dt

it is for all complex numbers except the negative integers and zero.

 $x$  is non-numeric and  $x\leq 0$ .

@@ Line 1: / Line 1: @@
 <div style="font-size:30px">'''GAMMALN(x)'''</div><br/>
-*<math>x</math> is the number
+*<math>x</math> is the number.
+**GAMMALN(), returns the natural logarithm of the Gamma Function.
 ==Description==
 *This function gives the natural logarithm of the absolute value of the Gamma Function.
@@ Line 18: / Line 20: @@
 #GAMMALN(42) = 114.03421178146174
 #GAMMALN(1) = 0.00018319639111644828(calci)
-#GAMMALN(-10) = NAN, because <math> x<0 </math>
+#GAMMALN(-10) = #N/A (X <= 0)
+==Related Videos==
+{{#ev:youtube|SAMTXAAKeug|280|center|GAMMA Distribution}}
 ==See Also==
 *[[Manuals/calci/GAMMADIST | GAMMADIST ]]
@@ Line 25: / Line 32: @@
 ==References==
-[http://en.wikipedia.org/wiki/Gamma_distribution| Gamma Distribution]*
+[http://en.wikipedia.org/wiki/Gamma_distribution  Gamma Distribution]*
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]