FUNCTION : jcombobase - q-base of a sum of jacprods
jcombobase(jcombo)
jcombo is a sum of jacprods.
jacbase of each term is computed and the common lcm
is returned.
CALLING SEQUENCE : jcombobase(jcombo)
PARAMETERS : jcombo - sum of jacprods
SYNOPSIS :
jacbase of each term is computed and the common lcm
is returned. This means that the sum
can be rewritten in terms ofJAC(b,a) where a is the q-base.
EXAMPLES :
> with(qseries):
> with(thetaids):
> jcombobase();
-------------------------------------------------------------
jcombobase(jcombo)
jcombo is a sum of jacprods.
jacbase of each term is computed and the common lcm
is returned.
-------------------------------------------------------------
> jcomb:= q^(1/5)*JAC(1,5,infinity)/JAC(2,5,infinity) +
q^(2/5)*JAC(2,10,infinity)/JAC(4,10,infinity);
1/5 2/5
q JAC(1, 5, infinity) q JAC(2, 10, infinity)
jcomb := ------------------------ + -------------------------
JAC(2, 5, infinity) JAC(4, 10, infinity)
> jac2getacombo(jcomb);
eta[1, 5](tau) eta[2, 10](tau)
-------------- + ---------------
eta[2, 5](tau) eta[4, 10](tau)
> jcombobase(jcomb);
10
DISCUSSION :
This means the given sum of jac prods can be written in terms of JAC(b,10).
SEE ALSO : jacbase