Compute the Roots of a Hermite_e series with given Complex Roots using NumPy in Python Last Updated : 27 Jun, 2022 Summarize Comments Improve Suggest changes Share Like Article Like Report In this article, we are going to see how to compute the roots of a Hermite_e series with given complex roots in Python. NumPy hermeroots() Methods We use the hermite e.hermeroots() function in Python Numpy to get the roots of a Hermite e series. This function will return an array containing the series' roots. If from all the roots present, all roots are real then the output is real as well else it will be complex. A 1-D array of coefficients is used as the parameter c. The eigenvalues of the companion matrix are used to calculate the root estimations; nevertheless, roots far from the complex plane's origin may have high inaccuracies due to the numerical instability of the series. Because the value of the series around such points is largely insensitive to mistakes in the roots, roots with multiplicity greater than 1 will display significant errors. A few repeats of Newton's technique on isolated roots near the origin can help. Also, the outputs of the function may look contradictory since the HermiteE series basis polynomials are not powers of x. Syntax : numpy.polynomial.hermite_e.hermeroots(arr) Parameter : arr (1-D array_like structure) Returns : ndarray (Array of the roots of the series.If from all the roots present, all roots are real then the output is real as well else it will be complex. Example 1 : Python3 # importing hermite_e library from numpy.polynomial import hermite_e # creating an array 'arr' of complex coefficient a = complex(1,2) b = complex(2,0) arr = [a, b] # Evaluating roots of a Hermite_e # series using hermeroots() function print(hermite_e.hermeroots(arr)) Output : [-0.5-1.j] Example 2 : Python3 # importing hermite_e library from numpy.polynomial import hermite_e # creating an array 'arr' of complex coefficient a = complex(1,2) # Evaluating roots of a Hermite_e # series using hermeroots() function print(hermite_e.hermeroots([a,-a])) Output : [1.-0.j] Comment More infoAdvertise with us Next Article Compute the roots of a Legendre series in Python-NumPy S siddheshsagar Follow Improve Article Tags : Python Python-numpy Python numpy-polynomials Practice Tags : python Similar Reads Generate a Hermite_e series with given roots using NumPy in Python In this article, we will cover how to raise a Hermite_e series to power in Python using NumPy. hermite_e.hermefromroots() function We use the hermite_e.hermefromroots() function present in the NumPy module of python to construct a Hermite_e series with the given roots. A 1-D array of coefficients is 2 min read Compute the roots of a Chebyshev series using NumPy in Python This article will discuss how to compute the roots of a Chebyshev series in NumPy using Python. Chebyshev polynomials are important in approximation theory these are never formally generated. Only the coefficients are required for all calculations. If we want to compute the roots of a polynomial we 2 min read Generate Chebyshev series with given complex roots using NumPy in Python In this article, we will cover how to generate the Chebyshev series with given complex roots in Python using NumPy. Example Input: (4+5j) Output: [9.5-40.j 0. +0.j 0.5 +0.j] Explanation: An array of Chebyshev series.chebyshev.chebfromroots() method In python, the Chebyshev module provides many funct 2 min read Compute the roots of a Legendre series in Python-NumPy In this article, we will discuss how to compute the roots of a Legendre series in python. legendre.legroots method In python, the Legendre module provides many functions like legdre to perform arithmetic, and calculus operations on the Legendre series. It is one of the functions provided by the Lege 2 min read Compute the square root of complex inputs with scimath in Python In this article, we will cover how to compute the square root of complex inputs with scimath in Python using NumPy. ExampleInput: [-1 -2] Output: [0.+1.j 0.+1.41421356j] Explanation: Square root of complex input.NumPy.emath.sqrt method The np.emath.sqrt() method from the NumPy library calculates the 2 min read Divide one Hermite series by another in Python using NumPy In this article, we are going to see how to divide one Hermite series by another in Python using NumPy. The numpy hermdiv() method helps us divide one Hermite series by another. The quotient and remainder of two Hermite series, c1 / c2, are returned. The arguments are a series of coefficients from l 3 min read Like