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(); ------------------------------------------------------------- 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 ------------------------------------------------------------- > 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 :