FUNCTION : ETA[qetacombo] - q-expansion of a symbolic linear combo of eta-products
CALLING SEQUENCE : qetacombo()
qetacombo(etacombo,TT)
qetacombo(etacombo,TT,BB)
PARAMETERS :
etacombo - lin combo of eta-products
TT - positive integer
BB - nonnegative integer (default = 0)
-
GLOBAL VARIABLES : consL
SYNOPSIS :
Compute q-expansions of etacombo up to q^TT
Increase BB if not enough terms
EXAMPLES :
> with(ETA):
> qetacombo();
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qetacombo()
qetacombo(etacombo,TT)
qetacombo(etacombo,TT,BB)
etacombo = lin combo of eta-products
TT = positive integer
BB = nonnegative integer (default = 0)
Compute q-expansions of etacombo up to q^TT
Increase BB if not enough terms
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> gpP:=[1,2,3,-2]: gpQ:=[2,2,6,-2]:
> P:=gp2etaprod(gpP):
> Q:=gp2etaprod(gpQ):
> ETAid:=P*Q+9/P/Q - (Q/P)^3 - (P/Q)^3:
> ETAidn:=etanormalid(%):
> f1:=op(2,ETAidn)/9:
> f2:=-op(3,ETAidn):
> f3:=-op(4,ETAidn):
> qetacombo(1+9*f1-f2-f3,100);
0
DISCUSSION :
SEE ALSO :