orthopolynom (version 1.0-6.1)

pochhammer: Calculate the value of Pochhammer's symbol

Description

pochhammer returns the value of Pochhammer's symbol calculated as

$$\left( z \right)_n = z\;\left( {z + 1} \right)\; \ldots \;\left( {z + n - 1} \right) = \frac{{\Gamma \left( {z + n} \right)}}{{\Gamma \left( z \right)}}$$

where \(\Gamma \left( z \right)\) is the Gamma function

Usage

pochhammer(z, n)

Value

The value of Pochhammer's symbol

Arguments

z

numeric value for the argument of the symbol

n

integer value for the number of terms in the symbol

Author

Frederick Novomestky

Examples

###
### compute the Pochhamer's symbol fo z equal to 1 and
### n equal to 5
###
pochhammer( 1, 5 )