FUNCTION : eta2jac - convert from ETA to JAC notation
CALLING SEQUENCE : eta2jac()
eta2jac(etaexp)
PARAMETERS : etaexp - expression involving ETAnm and ETAn
SYNOPSIS :
This function converts etaexp into JAC-prod form;ie.
in terms of JAC(a,b,infinity).
EXAMPLES :
> with(qseries):
> with(thetaids):
> eta2jac();
-------------------------------------------------------------
eta2jac(getaexp)
getaexp is expression involving ETAnm(d,g) and ETAn(b).
ETAnm(d.g)=eta[d,g](tau) amd ETAn(b)=eta(b*tau).
This function converts getaexp into JAC-prod form;ie.
in terms of JAC(a,b,infinity).
-------------------------------------------------------------
> EP:=ETAnm(5,1)/ETAnm(5,2):
> EP1:=ETAn(1):
> eta2jac(EP);
1/5
JAC(1, 5, infinity) q
------------------------
JAC(2, 5, infinity)
> eta2jac(EP1);
(1/24)
q JAC(0, 1, infinity)
> eta2geta(EP);
eta[5, 1](tau)
--------------
eta[5, 2](tau)
> eta2geta(EP1);
eta(tau)
> EP:=ETAnm(5,1);
EP := ETAnm(5, 1)
> eta2geta(EP);
eta[5, 1](tau)
> JP:=eta2jac(EP);
1/60
JAC(1, 5, infinity) q
JP := -------------------------
JAC(0, 5, infinity)
> jac2eprod(JP);
GETA(5, 1)
SEE ALSO : eta2geta, jac2eprod