FUNCTION : qseries[etaq] - Dedekind eta product
CALLING SEQUENCE : etaq(q,a,T)
PARAMETERS : q - variable
a,T - positive integers
SYNOPSIS :
T
etaq(q,a,T) returns the q-series expansion to O(q )
of the eta-product
a a
(q , q )
oo
where is real or complex variable (with |q|<1) and
a is a positive integer.
The series is computed using Euler's pentagonal number theorem.
EXAMPLES :
> etaq(q,2,100);
80 52 30 14 4 2 10 24 44 70
- q + q - q + q - q + 1 - q + q - q + q - q
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> series(%,q,100);
2 4 10 14 24 30 44 52 70 80
1 - q - q + q + q - q - q + q + q - q - q
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SEE ALSO :