To evaluate a Laguerre series at points x, use the polynomial.laguerre.lagval() method in Python Numpy. The 1st parameter is x. If x is a list or tuple, it is converted to an ndarray, otherwise it is left unchanged and treated as a scalar. In either case, x or its elements ... Read More

To evaluate a Laguerre series at points x, use the polynomial.laguerre.lagval() method in Python Numpy. The 1st parameter is x. If x is a list or tuple, it is converted to an ndarray, otherwise it is left unchanged and treated as a scalar. In either case, x or its elements ... Read More

To raise a Laguerre series to a power, use the polynomial.laguerre.lagpow() method in Python Numpy. The method returns the Laguerre series c raised to the power pow. The argument c is a sequence of coefficients ordered from low to high. i.e., [1, 2, 3] is the series P_0 + 2*P_1 ... Read More

To divide one Laguerre series by another, use the polynomial.laguerre.lagdiv() method in Python Numpy. The method returns a [quo, rem] array Of Laguerre series coefficients representing the quotient and remainder. Returns the quotient-with-remainder of two Laguerre series c1 / c2. The arguments are sequences of coefficients from lowest order “term” ... Read More

To multiply one Laguerre series to another, use the polynomial.laguerre.lagmul() method in Python Numpy. Returns the multiplication of two Laguerre series c1 * c2. The sequences of coefficients are from lowest order term to highest, i.e., [1, 2, 3] represents the series P_0 + 2*P_1 + 3*P_2. The parameters c1 ... Read More

To multiply a Laguerre series by an independent variable, use the polynomial.laguerre.lagmulx() method in Python. Multiply the Laguerre series c by x, where x is the independent variable. The parameter c is a 1-D array of Laguerre series coefficients ordered from low to high.StepsAt first, import the required library −import ... Read More

To subtract one Laguerre series from another, use the polynomial.laguerre.lagsub() method in Python Numpy. The method returns an array of Laguerre series coefficients representing their difference. Returns the difference of two Laguerre series c1 - c2. The sequences of coefficients are from lowest order term to highest, i.e., [1, 2, ... Read More

To generate a pseudo Vandermonde matrix of the Hermite polynomial and x, y, z sample points, use the hermite.hermvander3d() in Python Numpy. The method returns the pseudo-Vandermonde matrix. The parameter, x, y, z are arrays of point coordinates, all of the same shape. The dtypes will be converted to either ... Read More

To generate a pseudo Vandermonde matrix of the Hermite polynomial, use the hermite.hermvander2d() in Python Numpy. The method returns the pseudo-Vandermonde matrix. The parameter, x, y are an array of point coordinates, all of the same shape. The dtypes will be converted to either float64 or complex128 depending on whether ... Read More

To generate a Hermite series with given roots, use the hermite.hermfromroots() method in Python Numpy. The method returns a 1-D array of coefficients. If all roots are real then out is a real array, if some of the roots are complex, then out is complex even if all the coefficients ... Read More