Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site Email Comments

View Related Information In
The Documentation Center
MathWorld

Download All Formulas For This Function
Mathematica Notebook
PDF File

Download All Introductions For This Function
Mathematica Notebook
PDF File

 

Developed with Mathematica -- Download a Free Trial Version
 











variants of this functions
Factorial






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Factorial[n] > Introduction to the factorials and binomials





Connections within the group of factorials and binomials and with other function groups


Two factorials and are the particular cases of the incomplete gamma function with the second argument being :

The factorial , double factorial , Pochhammer symbol , binomial coefficient , and multinomial coefficient can be represented through the gamma function by the following formulas:

Many of these formulas are used as the main elements of the definitions of many functions.

The factorials and binomials , , , , and are interconnected by the following formulas: