Board index Special Functions Basic q-series

## Basic q-series

Post your questions related to Special Functions here.

Moderator: Shobhit

### Basic q-series

Wed Jul 24, 2013 12:51 pm
zaidalyafey Global Moderator

Posts: 357
Prove the following

$\displaystyle \lim_{q \to 1}\frac{(a)_{\infty}}{(aq^x)_{\infty}}=(1-a)^x$
Wanna learn what we discuss , see Book

### Re: Basic q-series

Wed Jul 31, 2013 3:41 pm
zaidalyafey Global Moderator

Posts: 357
It can be solved using the q-binomial theorem . If someone is interested I can show it.
Wanna learn what we discuss , see Book

### Re: Basic q-series

Sun May 18, 2014 6:46 pm

Posts: 3
Location: Bournemouth, United Kingdom
zaidalyafey wrote:
It can be solved using the q-binomial theorem . If someone is interested I can show it.

I am interested.

### Re: Basic q-series

Sun May 18, 2014 7:32 pm
zaidalyafey Global Moderator

Posts: 357
Wanna learn what we discuss , see Book