>Do you realize that the 'exp' in this formula is just a shorthand notation for
>solution of appropriate differential equation?
Yes, indeed it is a shorthand notation for step by step approximation
of z(t) (z(t) being the solution):
z_0 = z(0)
z_1 = z_0 + {z_0, H} t
z_2 = z_0 + {z_0, H} t + {{z_0,H},H} t^2 / 2
z_3 = z_0 + {z_0, H} t + {{z_0,H},H} t^2 / 2 + {{{z_0,H},H},H} t^3 /
3!
...
z_n goes to z(t) as n approaches infinity.
>However to use solver for power series you need a single parameter for
>expansion (time is good candidate).
When I was talking about exponentiation I just haven't included that t
for simplicity. As you see, eventually I should get the same time
series. But I want to have some practice with FriCAS so I want to
write it by myself.
And by the way, how do I do function composition in FriCAS?
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