Comment #8 on issue 4133 by gre...@gmail.com: Suggestion: implement
classical orthogonal polynomials
http://code.google.com/p/sympy/issues/detail?id=4133
I would be happy to contribute in any way I can, although my Python
development acumen is pretty weak compared to anyone else here.
I did not mean to suggest that chebyshevt(2,x)**2 should automatically
become chebyshevt(4,x)/2+chebyshevt(0,x)/2, but rather that it would be a
nice feature to be able to make such a conversion.
The distinction between chebyshevt(n,x) and chebyshevt_poly(n,x) is lost on
me:
from sympy.abc import x
from sympy import chebyshevt
a = chebyshevt(4,x)
b = chebyshevt_poly(4,x)
# All of these yield the same output
print(a)
print(b)
print(a.rewrite('polynomial'))
print(a.rewrite('chebyshevt'))
print(b.rewrite('polynomial'))
print(b.rewrite('chebyshevt'))
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