special whittaker functions

Question:special whittaker functions

Posted: woofwoof 15 Product: Maple

January 25 2013

In trying to solve:

 a := diff(u(t), t$2)+(p^2-I+t^2)*u(t) = 0;

I get the following solutions,

sol1 := u(t) = _C1*WhittakerM(-1/4-(1/4*I)*p^2, 1/4, I*t^2)/sqrt(t)+_C2*WhittakerW(-1/4-(1/4*I)*p^2, 1/4, I*t^2)/sqrt(t)

It should be possible to expand these into parabolic cylinder functions and but im not sure how, i would appreciate any help.

thanks

Share via:

E-Mail Address:
Password:
Remember Me:	Automatically sign in on future visits

E-Mail Address:
Password:
Remember Me:	Automatically sign in on future visits

Save this setting as your default sorting preference?
Note: You can change your preference any time in your account settings
Don't show this again