Multivariable Taylor series

[fakuivan]

Thank you very much for that hint, sadly I'm not yet that familiar with the HP CAS as to fully understand what that expression does. Here are some questions:

1. What does ``polynom`` mean in that context? from the documentation I can see the ``series`` function takes only two arguments.
2. Where is the center of the approximation defined? I assumed it's being defined at the origin, like the maclaurin series. If this is true, would there be a way to define the approximation at some arbitrary point?

I tried wrapping the statements in a single function. Would this be a correct way to do it? From limited testing I can say both the function and the expression return the same expressions

Code:


maclaurin_ord(expr_rep,vars,order):=(series(expr_rep(vars = (reserved*vars)),reserved = 0,order,polynom))(reserved = 1)

Also if it's not too much to ask I'd love if you could explain the meaning behind the substitution ``x=h*x`` and ``y=h*y``.