Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site ContributeEmail CommentsSign the Guestbook

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
 











Binomial






Mathematica Notation

Traditional Notation









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





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

Representations through more general functions

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

Representations through related equivalent functions

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.

Representations through other factorials and binomials

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





© 1998-2014 Wolfram Research, Inc.