## Math2.org Math Tables: |

(Math) |

An Introduction to
Generalized Calculus |
Unit I - Product Calculus |

Section B - Discrete Product |

The discrete product, ,
of a function f(x) is simply defined as:

f(k) = f(1) f(2) f(3) ... f(x)

x

simularly, we can place a lower limit __a__ on the product:

x

f(k) = f(a) f(a+1) f(a+2) ... f(x)

k=a

A product we deal with often is x!, written in product notation as:

k = (1)(2)(3) ... (x) = x!

x

or alternately written,

x

k = (1)(2)(3) ... (x) = x!

k=1

Next, we must convert this discrete product into its continuous form.