Compute properties for Bessel and Bessel-related functions.
Plot a Bessel function:
Integrate a spherical Bessel function:
Compute properties for the Euler beta or incomplete beta function.
Compute values of the Beta function:
Plot values of the incomplete Beta function:
Compute properties for elliptic functions and other related functions.
Plot an elliptic integral:
Compute the Taylor series of the elliptic nome:
Calculate the Carlson function:
Compute properties for the error function and complementary error function.
Compute values of the error function:
Analyze the complementary error function:
Compute properties for gamma and gamma-related functions.
Compute properties of the gamma function:
Simplify expressions involving gamma:
Compute properties for Legendre polynomials of the first and the second kind.
Compute Legendre P polynomials:
Plot a Legendre Q polynomial:
Compute properties for spheroidal functions of the first and the second kind.
Evaluate S(1) numerically:
Compute properties for the family of zeta functions.
Plot the zeta function on the critical line:
Numerically evaluate zeta near one of the nontrivial zeros:
Visualize or compute properties for Heun functions.
Evaluate the z -derivative of the double-confluent Heun function:
Plot values of the bi-confluent Heun function:
Plot a derivative of the general Heun function:
Discover properties of the z -derivative of the tri-confluent Heun function:
Compute the Taylor series for values of the confluent Heun function:
Visualize or compute properties for both outgoing and incoming irregular Coulomb functions.
Evaluate the incoming irregular Coulomb wave function at a point:
Plot values of the Coulomb wave:
Analyze the derivative of an irregular Coulomb wave: