Hi guys, just wondering if you can give me some advice on how to write certain co-efficients with in a compact elegant way.(adsbygoogle = window.adsbygoogle || []).push({});

The co-efficients are given by the following rule:

a0=1

a1=z

a2=z(z-1)

a3=z(z-1)(z-2)

.

.

.

an=z(z-1)(z-2)...(z-(n-1))

where a = any real number

I was thinking of using the following definition, an = z!/(z-n)! which seems to give me the correct results but im worried about whether or not the ! can be defined on real numbers. Like is there a problem with this definition?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Elegant Notation

**Physics Forums | Science Articles, Homework Help, Discussion**