Recognition of elliptic integrals



On 13/01/2011 1:00 AM, Anton Voropaev wrote:
> Has Maxima tools to evaluate integrals
> in terms of elliptic integrals or in terms
> of hypergeometric function?
Maxima has little capability in this area at present.

The integrals of few special functions, for example Airy and some Bessel 
functions, are expressed in terms of hypergeometric functions.  It is 
quite easy to add integrals for other special functions if you can 
identify gaps.  There was some discussion about adding more general 
algorithms for integrals in terms of hypergeometric or Meijer G 
functions, but no code yet.