pochhammer: Calculate the value of Pochhammer's symbol

In orthopolynom: Collection of Functions for Orthogonal and Orthonormal Polynomials

Calculate the value of Pochhammer's symbol

Description

pochhammer returns the value of Pochhammer's symbol calculated as

≤ft( z \right)_n = z\;≤ft( {z + 1} \right)\; … \;≤ft( {z + n - 1} \right) = \frac{{Γ ≤ft( {z + n} \right)}}{{Γ ≤ft( z \right)}}

where Γ ≤ft( z \right) is the Gamma function

Usage

pochhammer(z, n)

Arguments

z	numeric value for the argument of the symbol
n	integer value for the number of terms in the symbol

Value

The value of Pochhammer's symbol

Author(s)

Frederick Novomestky [e-mail]

Examples

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

orthopolynom documentation built on Oct. 3, 2022, 5:08 p.m.