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For convenience, we define the following:



(11.102) 



(11.103) 



(11.104) 
These are the basic solutions to the HHE that are also eigenfunctions
of and . Clearly there is an implicit label of
(or ) for these solutions. A general solution (on a suitable
domain) can be constructed out of a linear combination of any two of
them.
Robert G. Brown
20150823