Next: Functions and Variables for Poisson series, Previous: Introduction to Fourier series, Up: Sums Products and Series [Contents][Index]
Returns true if equal (x, y) otherwise false
(doesn’t give an error message like equal (x, y) would do in this case).
Categories: Package fourie
remfun (f, expr) replaces all occurrences of f
(arg) by arg in expr.
remfun (f, expr, x) replaces all occurrences of
f (arg) by arg in expr only if arg contains
the variable x.
Categories: Package fourie
funp (f, expr)
returns true if expr contains the function f.
funp (f, expr, x)
returns true if expr contains the function f and the variable
x is somewhere in the argument of one of the instances of f.
Categories: Package fourie
absint (f, x, halfplane)
returns the indefinite integral of f with respect to
x in the given halfplane (pos, neg, or both).
f may contain expressions of the form
abs (x), abs (sin (x)), abs (a) * exp (-abs (b) * abs (x)).
absint (f, x) is equivalent to
absint (f, x, pos).
absint (f, x, a, b) returns the definite integral
of f with respect to x from a to b.
f may include absolute values.
Categories: Package fourie Integral calculus
Returns a list of the Fourier coefficients of f(x) defined
on the interval [-p, p].
Categories: Package fourie
Simplifies sin (n %pi) to 0 if sinnpiflag is true and
cos (n %pi) to (-1)^n if cosnpiflag is true.
Default value: true
See foursimp.
Categories: Package fourie
Default value: true
See foursimp.
Categories: Package fourie
Constructs and returns the Fourier series from the list of Fourier coefficients
l up through limit terms (limit may be inf). x
and p have same meaning as in fourier.
Categories: Package fourie
Returns the Fourier cosine coefficients for f(x) defined on
[0, p].
Categories: Package fourie
Returns the Fourier sine coefficients for f(x) defined on
[0, p].
Categories: Package fourie
Returns fourexpand (foursimp (fourier (f, x, p)),
x, p, 'inf).
Categories: Package fourie
Constructs and returns a list of the Fourier integral coefficients of
f(x) defined on [minf, inf].
Categories: Package fourie
Returns the Fourier cosine integral coefficients for f(x)
on [0, inf].
Categories: Package fourie
Returns the Fourier sine integral coefficients for f(x) on
[0, inf].
Categories: Package fourie
Next: Functions and Variables for Poisson series, Previous: Introduction to Fourier series, Up: Sums Products and Series [Contents][Index]