Special Functions
compute properties of the Gamma function
Gamma(n)
simplify expressions involving Gamma
Gamma(z)*Gamma(1-z)
Beta Functions
compute values of the Beta function
Beta(5, 4)
plot values of the incomplete Beta function
plot Beta(x, 2, 3)
Error Functions
compute values of the error function
erf(3)
analyze the complementary error function
integral representation erfc(z)
plot a Bessel function
plot J2(x)
integrate a spherical Bessel function
integrate spherical Bessel j3(x)
Legendre Polynomials
compute Legendre P polynomials
Legendre P(10,x)
plot a Legendre Q polynomial
Plot Legendre Q(8,x)
plot an elliptic integral
Plot Elliptic E(t)
compute the Taylor series of nome
Series Elliptic Nome Q(m)
plot the zeta function on the critical line
plot zeta(1/2 + i*t)
numerically evaluate zeta near one of the nontrivial zeros
zeta(1/2 + 14.1347 i)
Spheroidal Functions
evaluate S1 numerically