Polynomials (polynomial)

The polynomial module provides classes and functions for polynomial operations.

Example

import numpycore as np

# Create polynomial: 1 + 2x + 3x^2
p = np.polynomial.Polynomial([1, 2, 3])

# Evaluate at x = 2
print(p(2))  # 17.0

# Polynomial arithmetic
q = np.polynomial.Polynomial([1, 1])
print(p + q)  # Add polynomials
print(p * q)  # Multiply polynomials

# Polynomial fitting
x = np.array([0, 1, 2, 3, 4])
y = np.array([0, 1, 4, 9, 16])
coeffs = np.polyfit(x, y, 2)

Polynomial Class

Method	Description
Polynomial(coef)	Create polynomial from coefficients
__call__(x)	Evaluate polynomial at x
deriv(m=1)	Derivative of polynomial
integ(m=1)	Indefinite integral
roots()	Polynomial roots
fit(x, y, deg)	Least squares fit

Polynomial Functions

Function	Description
polyval(x, c)	Evaluate polynomial at points x
polyfit(x, y, deg)	Least squares polynomial fit
polyadd(c1, c2)	Add two polynomials
polysub(c1, c2)	Subtract two polynomials
polymul(c1, c2)	Multiply two polynomials
polydiv(c1, c2)	Divide two polynomials
polyder(c)	Polynomial derivative
polyint(c)	Polynomial integral
polyroots(c)	Roots of polynomial

Special Polynomials

Class	Description
Chebyshev	Chebyshev polynomials
Legendre	Legendre polynomials
Hermite	Hermite polynomials (physicist’s)
HermiteE	Hermite polynomials (probabilist’s)
Laguerre	Laguerre polynomials