There is any notation for a language that is empty infinite?
The usual way to describe these properties is by indicating the size of $L$, denoted by $|L|$.


Empty language, the size is zero, $|L|=0$
Finite language, $|L|=c$ or in general, the size in non-infinite, $|L|&lt; \infty$    
Infinite language, $|L|=\infty$.