Consider the differential equation satisfied by
|
(1) |
where is a Whittaker Function.
|
(2) |
|
(3) |
This is usually rewritten
|
(4) |
The solutions are Parabolic Cylinder Functions.
The equations
|
(5) |
|
(6) |
which arise by separating variables in Laplace's Equation in Parabolic Cylindrical Coordinates, are also
known as the Weber differential equations. As above, the solutions are known as Parabolic Cylinder Functions.
© 1996-9 Eric W. Weisstein
1999-05-26