-----drdieterkaiser at web.de wrote: -----
>I?do?not?know?much?about?the?taylor?code.?But?I?have?seen?that?the?trig
>functions?have?the?following?line?in?the?simplifying?function:
>
>????????((taylorize?(mop?x)?(second?x)))
>
>When?I?add?this?line?to?the?lambert_w?function?I?get:
>
>(%i9)?lambert_w(taylor(x,x,0,5));
>(%o9)?x-x^2+3*x^3/2-8*x^4/3+125*x^5/24
Yes, this is correct--I checked it with Maple :)
>The?only?other?function?I?have?detected?which?use?the?above?code?is?the
>abs function.?All?other?function?like?gamma,?bessel,?airy,?...?do?not?have
>this?code and?remove?the?taylor?series?from?the?argument.
These are deficiences; for example:
(%i34) bessel_j(5,taylor(x,x,0,3));
(%o34) bessel_j(5,x)
Barton
(who wrote the taylorize code in a blizzard)