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Returns true if equal (x, y) otherwise false
(doesn’t give an error message like equal (x, y) would do in this case).
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.
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.
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.
Returns a list of the Fourier coefficients of f(x) defined
on the interval [-p, p].
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.
Default value: true
See foursimp.
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.
Returns the Fourier cosine coefficients for f(x) defined on
[0, p].
Returns the Fourier sine coefficients for f(x) defined on
[0, p].
Returns fourexpand (foursimp (fourier (f, x, p)),
x, p, 'inf).
Constructs and returns a list of the Fourier integral coefficients of
f(x) defined on [minf, inf].
Returns the Fourier cosine integral coefficients for f(x)
on [0, inf].
Returns the Fourier sine integral coefficients for f(x) on
[0, inf].
Next: Functions and Variables for Poisson series, Previous: Introduction to Fourier series, Up: Sums, Products, and Series [Contents][Index]