between addition and multiplication

[lloyd]

I'm very interesting about operation "@". but what's your code (pari/gp, maple...)?

Here's the C code. Feed this function three values:

m is a+b (don't give it m=0)
n is a*b
phi is a value between 0 and 1.

Sorry, the formatting (indenting) will disappear on this forum.

float wagm(float m, float n, float phi)
{
int i;
float p,q;
for (i=1;i<6;i++)
{
p = phi * (n-m) + m;
q = pow(n/m,phi) * m;
m = p;
n = q;
}
return p;
}

See my other post for a graph and for the extension to operations between multiplication and exponentiation.