def chebyu(n, monic=False):
 base = jacobi(n, 0.5, 0.5, monic=monic)
 if monic:
  return base
 factor = (((sqrt(pi) / 2.0) * _gam((n + 2))) / _gam((n + 1.5)))
 base._scale(factor)
 return base

def chebyu ( n , monic = False ) : base = jacobi ( n , 0.5 , 0.5 , monic = monic ) if monic : return base factor = ( ( ( sqrt ( pi ) / 2.0 ) * _gam ( ( n + 2 ) ) ) / _gam ( ( n + 1.5 ) ) ) base . _scale ( factor ) return base
chebyshev polynomial of the second kind .