Multivariable Taylor series
03-31-2019, 03:44 PM
Post: #3
 fakuivan Junior Member Posts: 21 Joined: Mar 2019
RE: Multivariable Taylor series
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.
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 Messages In This Thread Multivariable Taylor series - fakuivan - 03-31-2019, 11:01 AM RE: Multivariable Taylor series - parisse - 03-31-2019, 02:03 PM RE: Multivariable Taylor series - fakuivan - 03-31-2019 03:44 PM RE: Multivariable Taylor series - parisse - 03-31-2019, 06:47 PM RE: Multivariable Taylor series - fakuivan - 03-31-2019, 11:46 PM RE: Multivariable Taylor series - fakuivan - 04-02-2019, 08:04 PM RE: Multivariable Taylor series - parisse - 04-03-2019, 06:45 AM RE: Multivariable Taylor series - parisse - 04-04-2019, 05:55 PM RE: Multivariable Taylor series - fakuivan - 04-05-2019, 11:09 AM RE: Multivariable Taylor series - chromos - 04-05-2019, 12:19 PM RE: Multivariable Taylor series - parisse - 04-06-2019, 05:24 AM

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