To multiply one Legendre series from another, use the polynomial.legendre.legmul() method in Python Numpy. The method returns an array representing the Legendre series of their product. Returns the multiplication of two Legendre series c1 * c2. The arguments are sequences of coefficients ordered from lowest order term to highest, i.e., ... Read More

To multiply the Legendre series c by x, where x is the independent variable, use the polynomial.laguerre.legmulx() method in Python Numpy. The method returns an array representing the result of the multiplication. Returns the difference of two Legendre series c1 - c2. The arguments are sequences of coefficients ordered from ... Read More

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

To add one Legendre series to another, use the polynomial.legendre.legadd() method in Python Numpy. The method returns an array representing the Legendre series of their sum.Returns the sum of two Legendre series c1 + c2. The arguments are sequences of coefficients ordered from lowest order term to highest, i.e., [1, ... Read More

To convert a polynomial to a Laguerre series, use the laguerre.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 Laguerre series, ordered from lowest to highest degree.The method returns a ... Read More

To convert a Laguerre series to a polynomial, use the laguerre.lag2poly() method in Python Numpy. Convert an array representing the coefficients of a Laguerre series, ordered from lowest degree to highest, to an array of the coefficients of the equivalent polynomial (relative to the “standard” basis) ordered from lowest to ... Read More

To remove small trailing coefficients from Laguerre polynomial, use the laguerre.lagtrim() method in Python numpy. The method returns a 1-d array with trailing zeros removed. If the resulting series would be empty, a series containing a single zero is returned.The “Small” means “small in absolute value” and is controlled by ... 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 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 is an array of point coordinates, all of the same shape. The dtypes will be converted to either float64 or complex128 depending on whether any ... Read More

To generate a Vandermonde matrix of the Hermite polynomial, use the chebyshev.hermvander() 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 Hermite polynomial. The dtype will be ... Read More