This is the edition I have as a hardcover, and even though it's old, it has served me well. Except there's quite a few errors in there and I would like to know if there's a full list available somewhere?
Note: I am using the Russian edition (1963).
There's a small list here found with Mathematica, but it's obviously incomplete.
In particular, I have found an error for 7.374(7):
$$\int_{-\infty}^{\infty} \exp \left(-(x-y)^2 \right) H_m ( x) H_n ( x) dx=\sqrt{\pi} 2^n m! y^{n-m} L_{n}^{(n-m)} (-2y^2), \qquad n \geq m$$
According to numerical check in Mathematica, it should be:
$$\int_{-\infty}^{\infty} \exp \left(-(x-y)^2 \right) H_m ( x) H_n ( x) dx=\sqrt{\pi} 2^n m! y^{n-m} L_{\color{red}{m}}^{(n-m)} (-2y^2), \qquad n \geq m$$
Which is also a particular case of 7.377, which seems to be correct:
$$\int_{-\infty}^{\infty} \exp \left(-x^2 \right) H_m ( x+y) H_n ( x+z) dx=\sqrt{\pi} 2^n m! z^{n-m} L_{m}^{(n-m)} (-2yz), \qquad n \geq m$$