chaospy.expansion.laguerre¶

chaospy.expansion.laguerre(order, alpha=0.0, physicist=False, normed=False, retall=False)[source]¶

Examples:

>>> polynomials, norms = chaospy.expansion.laguerre(3, retall=True)
>>> polynomials
polynomial([1.0, q0-1.0, q0**2-4.0*q0+2.0, q0**3-9.0*q0**2+18.0*q0-6.0])
>>> norms
array([ 1.,  1.,  4., 36.])
>>> chaospy.expansion.laguerre(3, physicist=True).round(5)
polynomial([1.0, -q0+1.0, 0.5*q0**2-2.0*q0+2.0,
            -0.16667*q0**3+1.5*q0**2-5.33333*q0+4.66667])
>>> chaospy.expansion.laguerre(3, alpha=2, normed=True).round(3)
polynomial([1.0, 0.577*q0-1.732, 0.204*q0**2-1.633*q0+2.449,
            0.053*q0**3-0.791*q0**2+3.162*q0-3.162])