Key points are not available for this paper at this time.
Hermite's function H n (x) is denned for all complex values of x and n by where F (α; γ; x) is Kummer's function with the customary indices omitted. It satisfies the differential equation 1.1 of which is a second solution. Every solution of (1.1) is an entire function.
Louis Weisner (Thu,) studied this question.