Abramovitz presents even and odd solutions to the Weber equation.(adsbygoogle = window.adsbygoogle || []).push({});

He also presents standard solutions as a pair of parabolic cylinder functions.

Clearly any linear combination of the even and odd solutions is also a solution of the equation.

My question is: Why is the parabolic cylinder function so special to be considered a "standard" solution?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Weber differential equation

**Physics Forums | Science Articles, Homework Help, Discussion**