To generate a monic polynomial with given complex roots, use the polynomial.polyfromroots() method in Python Numpy. The method returns the 1-D array of the polynomial’s coefficients If all the roots are real, then out is also real, otherwise it is complex. The parameter roots are the sequence containing the roots.StepsAt ... Read More

To evaluate a 3-D Chebyshev series at points (x, y, z), use the polynomial.chebval3d() method in Python Numpy. The method returns the values of the multidimensional polynomial on points formed with triples of corresponding values from x, y, and z.The parameters are x, y, z. The three dimensional series is ... Read More

To evaluate a Evaluate a 3-D Chebyshev series at points (x, y, z), use the polynomial.chebval3d() method in Python Numpy. The method returns the values of the multidimensional polynomial on points formed with triples of corresponding values from x, y, and z.The parameters are x, y, z. The three dimensional ... Read More

To evaluate a 2-D Chebyshev series at points (x, y), use the polynomial.chebval2d() method in Python Numpy. The method returns the values of the two dimensional Chebyshev series at points formed from pairs of corresponding values from x and y i.e. Parameters, x, y. The two dimensional series is evaluated ... Read More

To evaluate a Chebyshev series at points x, use the chebyshev.chebval(() method in Python Numpy. The 1st parameter, 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 must ... Read More

To evaluate a Chebyshev series at points x, use the chebyshev.chebval(() method in Python Numpy. The 1st parameter, 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 must ... Read More

To raise a Chebyshev series to a power, use the chebyshev.chebpow() method in Python Numpy. Returns the Chebyshev 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 T_0 + 2*T_1 + 3*T_2. ... Read More

To divide one Chebyshev series by another, use the polynomial.chebyshev.chebdiv() method in Python Numpy. The method returns arrays of Chebyshev series coefficients representing the quotient and remainder.Returns the quotient-with-remainder of two Chebyshev series c1 / c2. The arguments are sequences of coefficients from lowest order “term” to highest, e.g., [1, ... Read More

To evaluate a Hermite_e series at points x, use the hermite.hermeval() method in Python Numpy. The 1st parameter, 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 must ... Read More

To multiply one Chebyshev series to another, use the polynomial.chebyshev.chebmul() method in Python. The method returns an array of Chebyshev series coefficients representing their product. Returns the product of two Chebyshev series c1 * c2. The arguments are sequences of coefficients, from lowest order “term” to highest, e.g., [1, 2, ... Read More