I'm struggling calculating the following integral:
$$\int_ {-\infty}^\infty \operatorname{Ai}(x)~\operatorname{Ai}(x-2it) e^{2(x-it)} dx $$ Where x is a complex number. I'm studying "Airy Functions and Applications to Physics" (Soares and Valee) but I cannot figure it out. Could anyone help me?