I want to convert the Chebyshev T(n,x) and U(n-1,x) polnomials into their inverse trigonometric definitions. Is there a simple conversion process available in Maple?  There is a command "invtrig" which I have tried with the "convert" command , but this does not seem to work.

I wrote a simple expand command in Maple - expand(cos((u - 2*k)*x))

only to get the result

2*cos(x*u)*cos(x*k)^2 + 2*sin(x*u)*sin(x*k)*cos(x*k) - cos(x*u)

The presence of a squared term seems to indicate a bug??

Is there a single-source fractional calculus toolbox, or collection of tools, available for Maple ? There appears to be the odd routine for fractional derivatives or DE's, but nothing of a systemic nature.

I ran the Fourier Transform about 6 months ago.

>

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The out put was 23 lines long, and then used the Simplify/Simplify option for the result to obtain

, a relatively easier result.

I tried to re-run it today but it just gave me

with the result

Do you have any idea as to why this happens?? I seem to recall there may be similar “memory” problem

that occurred in the past.

I noticed that when I enter an equation into Maple, Greek symols change to English equivalents after a couple of days. E.g. Gamma becomes G , Pi becomes p, but not for all characters.

I haven't noticed any similar effects on mathematical characers or operators, or any other symbols.

RH