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SciPy Reference Guide, Release 0.8.dev
ellipeinc
y=ellipeinc(phi,m) returns the incomplete elliptic integral of the second kind: integral(sqrt(1m*sin(t)**2),t=0..phi)
Bessel Functions
jn(x1) y=jv(v,z) returns the Bessel function of real order v at complex z.
jv(x1) y=jv(v,z) returns the Bessel function of real order v at complex z.
jve(x1) y=jve(v,z) returns the exponentially scaled Bessel function of real order
yn(x1) y=yn(n,x) returns the Bessel function of the second kind of integer
yv(x1) y=yv(v,z) returns the Bessel function of the second kind of real
yve(x1) y=yve(v,z) returns the exponentially scaled Bessel function of the second
kn(x1) y=kn(n,x) returns the modified Bessel function of the second kind (sometimes called the third
kind) for
kv(x1) y=kv(v,z) returns the modified Bessel function of the second kind (sometimes called the third
kind) for
kve(x1) y=kve(v,z) returns the exponentially scaled, modified Bessel function
iv(x1) y=iv(v,z) returns the modified Bessel function of real order v of
ive(x1) y=ive(v,z) returns the exponentially scaled modified Bessel function of
hankel1(x1) y=hankel1(v,z) returns the Hankel function of the first kind for real order v and complex
argument z.
hankel1e(x1) y=hankel1e(v,z) returns the exponentially scaled Hankel function of the first
hankel2(x1) y=hankel2(v,z) returns the Hankel function of the second kind for real order v and complex
argument z.
hankel2e(x1) y=hankel2e(v,z) returns the exponentially scaled Hankel function of the second
jn
jv
jve
yn
yv
yve
kn
kv
kve
y=jv(v,z) returns the Bessel function of real order v at complex z.
y=jv(v,z) returns the Bessel function of real order v at complex z.
y=jve(v,z) returns the exponentially scaled Bessel function of real order v at complex z: jve(v,z) = jv(v,z) *
exp(-abs(z.imag))
y=yn(n,x) returns the Bessel function of the second kind of integer order n at x.
y=yv(v,z) returns the Bessel function of the second kind of real order v at complex z.
y=yve(v,z) returns the exponentially scaled Bessel function of the second kind of real order v at complex z:
yve(v,z) = yv(v,z) * exp(-abs(z.imag))
y=kn(n,x) returns the modified Bessel function of the second kind (sometimes called the third kind) for integer
order n at x.
y=kv(v,z) returns the modified Bessel function of the second kind (sometimes called the third kind) for real
order v at complex z.
y=kve(v,z) returns the exponentially scaled, modified Bessel function of the second kind (sometimes called the
third kind) for real order v at complex z: kve(v,z) = kv(v,z) * exp(z)
3.17. Special functions (scipy.special) 425