To multiply one Hermite_e series to another, use the polynomial.hermite.hermemul() method in Python Numpy. The method returns an array representing the Hermite_e series of their product. Returns the product of two Hermite_e series c1 * c2. The arguments are sequences of coefficients, from lowest order “term” to highest, e.g., [1, ... Read More

To integrate a Legendre series, use the polynomial.legendre.legint() method in Python. The method returns the Legendre series coefficients c integrated m times from lbnd along axis. At each iteration the resulting series is multiplied by scl and an integration constant, k, is added. The scaling factor is for use in ... Read More

To integrate a Legendre series, use the polynomial.legendre.legint() method in Python. The method returns the Legendre series coefficients c integrated m times from lbnd along axis. At each iteration the resulting series is multiplied by scl and an integration constant, k, is added. The scaling factor is for use in ... Read More

To differentiate a Legendre series, use the polynomial.laguerre.legder() method in Python. Returns the Legendre series coefficients c differentiated m times along axis. At each iteration the result is multiplied by scl.The 1st parameter, c is an array of Legendre series coefficients. If c is multidimensional the different axis correspond to ... Read More

To multiply the Hermite_e series by x, where x is the independent variable, use the polynomial.hermite.hermemulx() method in Python Numpy. The method returns an array representing the result of the multiplication. The parameter, c is a 1-D array of Hermite_e series coefficients ordered from low to high.StepsAt first, import the ... Read More

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

To add one Hermite_e series to another, use the polynomial.hermite.heremadd() method in Python Numpy. The method returns an array representing the Hermite_e series of their sum. Returns the sum of two Hermite_e series c1 + c2. The arguments are sequences of coefficients ordered from lowest order term to highest, i.e., ... Read More

To convert a polynomial to a Legendre series, use the legendre.poly2lag() method in Python Numpy. Convert an array representing the coefficients of a polynomial ordered from lowest degree to highest, to an array of the coefficients of the equivalent Legendre series, ordered from lowest to highest degree. The method returns ... Read More

To generate a pseudo Vandermonde matrix of the Legendre polynomial with x, y, z sample points, use the legendre.legvander3d() method in Python Numpy. Returns the pseudo-Vandermonde matrix of degrees deg and sample points (x, y, z).The parameters, x, y ,z are arrays of point coordinates, all of the same shape. ... Read More

To generate a pseudo Vandermonde matrix of the Legendre polynomial, use the legendre.legvander2d() method in Python Numpy. The method returns the pseudo-Vandermonde matrix. The shape of the returned matrix is x.shape + (deg + 1, ), where The last index is the degree of the corresponding Legendre polynomial. The dtype ... Read More