Thread: Non integer factorial

Hi all

First thanks alot for all the help people offer on this forum, its really well appreciated

I was wondering does anyone know how to evaluate a non integer factorial like 0.35! or 7.213!

I was thinking of using the gamma function, but how to evaluate the recursive integral numerically?

I welcome any advice

chogo

Originally Posted by chogo

Hi all

First thanks alot for all the help people offer on this forum, its really well appreciated

I was wondering does anyone know how to evaluate a non integer factorial like 0.35! or 7.213!

I was thinking of using the gamma function, but how to evaluate the recursive integral numerically?

I welcome any advice

chogo

As always the Wikipedia page is a good place to start.

RonL

Originally Posted by chogo

Hi all

First thanks alot for all the help people offer on this forum, its really well appreciated

I was wondering does anyone know how to evaluate a non integer factorial like 0.35! or 7.213!

I was thinking of using the gamma function, but how to evaluate the recursive integral numerically?

I welcome any advice

chogo

As CaptainBlank said it is Euler's Grammer Function. It is really remarkable. It has great applications in applied math.

Some interesting properties....
1) .
(I can prove this is you are familar with Multi-variable Calculus).

2)(For differencial equations). The generalization of the Laplace transform for the power function for for non-integer values is,
.

This is really a remarkable function, one of my favorites (my favorite is the most ugliest function, Dirichlet Function).

thanks for the help, its much appreciated.

that euler grammer function is amazing thanks!, except im writting code which should be computationally efficient

i found an approximation derived by Lanczos
JSTOR: Options for Access to JSTOR

i cant for the life of me understand that, but perhaps one of you guys might be interested. I think ill just stick with using eulers function even though it may be computationally inefficient

thanks again guys