numpy.polynomial.hermite.Hermite#
- class numpy.polynomial.hermite.Hermite(coef, domain=None, window=None, symbol='x')[source]#
An Hermite series class.
The Hermite class provides the standard Python numerical methods ‘+’, ‘-’, ‘*’, ‘//’, ‘%’, ‘divmod’, ‘**’, and ‘()’ as well as the attributes and methods listed below.
- Parameters:
- coefarray_like
Hermite coefficients in order of increasing degree, i.e,
(1, 2, 3)
gives1*H_0(x) + 2*H_1(x) + 3*H_2(x)
.- domain(2,) array_like, optional
Domain to use. The interval
[domain[0], domain[1]]
is mapped to the interval[window[0], window[1]]
by shifting and scaling. The default value is [-1, 1].- window(2,) array_like, optional
Window, see
domain
for its use. The default value is [-1, 1].New in version 1.6.0.
- symbolstr, optional
Symbol used to represent the independent variable in string representations of the polynomial expression, e.g. for printing. The symbol must be a valid Python identifier. Default value is ‘x’.
New in version 1.24.
- Attributes:
- symbol
Methods
__call__
(arg)Call self as a function.
basis
(deg[, domain, window, symbol])Series basis polynomial of degree deg.
cast
(series[, domain, window])Convert series to series of this class.
convert
([domain, kind, window])Convert series to a different kind and/or domain and/or window.
copy
()Return a copy.
cutdeg
(deg)Truncate series to the given degree.
degree
()The degree of the series.
deriv
([m])Differentiate.
fit
(x, y, deg[, domain, rcond, full, w, ...])Least squares fit to data.
fromroots
(roots[, domain, window, symbol])Return series instance that has the specified roots.
has_samecoef
(other)Check if coefficients match.
has_samedomain
(other)Check if domains match.
has_sametype
(other)Check if types match.
has_samewindow
(other)Check if windows match.
identity
([domain, window, symbol])Identity function.
integ
([m, k, lbnd])Integrate.
linspace
([n, domain])Return x, y values at equally spaced points in domain.
mapparms
()Return the mapping parameters.
roots
()Return the roots of the series polynomial.
trim
([tol])Remove trailing coefficients
truncate
(size)Truncate series to length size.