8 LESLIE COHN
4
3m-l
7r
2 r(3m-2)r(3m-l/2) (by the Duplication
2(3m-l) 26m-3r(3^1)r(3m_1/2) Formula)
2
(3m-l)(3m-2) *
r
Hence, ifour assumption onthe eigenfunctions ofthe operator I holds,
dim
A m = (3m-l)(3m-2) ,
k ( p
^
p ) B
_
) B dP
2 'F V ^ •' ' - " k(p)p)m
To proceed further, wemust investigate the validity ofour assumption
and the manner ofconvergence ofthis integral.
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