# Proof required

1. Sep 2, 2011

### bhartish

e^(a^2) x erfc(a) = e^(a^2 x erfc(a))

2. Sep 2, 2011

### tiny-tim

hi bhartish!

(try using the X2 icon just above the Reply box )

show us what you've tried, and where you're stuck, and then we'll know how to help!

3. Sep 3, 2011

### bhartish

I have seen the application of this formula in one of the journal papers . I just want to know is there any such relation ( or even other such type ) between exponential and complimentary error function ?

4. Sep 3, 2011

### tiny-tim

which journal (and issue and page numner)?

5. Sep 3, 2011

### gb7nash

So you think:

$$e^{a^{2}} \frac{2}{\sqrt{\pi}} \int_{a}^\infty e^{-t^{2}} dt = e^{a^{2} \frac{2}{\sqrt{\pi}} \int_{a}^\infty e^{-t^{2}} dt }$$ ?

Looks like nonsense to me. I would be very leery about this if there were no proof in this journal you're talking about.

6. Sep 3, 2011

### HallsofIvy

Staff Emeritus
7. Sep 4, 2011

### bhartish

Even I have tried this counter example but is there any substantiating answer through calculus ?