(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The Gamma function is given by [itex]\Gamma[/itex](x) =_{0}∫^{∞}t^{x-1}e^{-t}dt

Evaluate_{0}∫^{∞}exp(-αy^{2})dy in terms of Gamma functions.

2. Relevant equations

n/a

3. The attempt at a solution

Honestly, I don't know where to start. I have knowledge of parametric differentiation (we use alpha as the variable in class which may hint at its usage here) but I don't immediately see how it would help or what it even means to evaluate the integral "in terms of gamma functions."

I'm not just looking for the answer, I'd like a starting hint or tip to get going.

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

Dismiss Notice

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!

# Homework Help: Evaluating integral in terms of Gamma functions

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