+(
)
+(
)=0where
,
,
,
, q, y1, y2 and y3are constants, or in a canonical form as (Bateman & Erdélyi 1955)
![(-q + x α β) H[x] + (x^2 (1 + α + β) + a γ - x (1 + α + β - δ + a (γ + δ))) H^'[x] + (-1 + x) x (-a + x) H^''[x] = 0](index_9.gif){kind=small}
where α,β, γ,δ,α,q, are constants.
In the general form the Heun equation can be written as
+()+()=0
where ,,,, q, y1, y2 and y3
are constants, or in a canonical form as (Bateman & Erdélyi 1955)
where α,β, γ,δ,α,q, are constants.
Converted by Mathematica
(February 28, 2003)
