HermiteH(n,x), n->inf

[Ralf Stephan]

Karol A. Penson:
> 
> Dear Seqfans, who could help me in finding a reference treating the 
> asymptotic behaviour of conventional Hermite polynomials HermiteH(n,x)
> for fixed x and large n ? Thanks in advance. 

[added a subject]

That would be related to the question what sequences are created when
fixing x in HermiteH(n,x). Do we have these? What g.f.s do they have?
Do you mean any x, rational/real/complex?

Please clarify,
ralf