BesselYZero (Built-in Mathematica Symbol)

BesselYZero[n, k] represents the k\[Null]^th zero of the Bessel function of the second kind Y_n (x).BesselYZero[n, k, x_0] represents the k\[Null]^th zero greater than x_0.

InverseFunctions (Built-in Mathematica Symbol)

InverseFunctions is an option for Solve and related functions that specifies whether inverse functions should be used.

Introduction to Solving Nonlinear ... (Mathematica Tutorial)

There are some close connections between finding a "local minimum" and solving a set of nonlinear equations. Given a set of n equations in n unknowns, seeking a solution r(x) ...

Special Functions (Mathematica Guide)

Two decades of intense R&D at Wolfram Research have given Mathematica by far the world's broadest and deepest coverage of special functions—and greatly expanded the whole ...

InterpolateRoot (Function Approximations Package Symbol)

InterpolateRoot[lhs == rhs, {x, x_0, x_1}] searches for a numerical solution to the equation lhs == rhs using x_0 and x_1 as the first two values of x.

ParameterEstimator (Built-in Mathematica Symbol)

ParameterEstimator is an option to EstimatedDistribution and FindDistributionParameters that specifies what parameter estimator to use.

RiemannSiegelZ (Built-in Mathematica Symbol)

RiemannSiegelZ[t] gives the Riemann\[Dash]Siegel function Z(t).

Newton's Method (Mathematica Tutorial)

Newton's method for nonlinear equations is based on a linear approximation so the Newton step is found simply by setting M_k(p)=0, Near a root of the equations, Newton's ...

RiemannR (Built-in Mathematica Symbol)

RiemannR[x] gives the Riemann prime counting function R(x).

SpheroidalS1Prime (Built-in Mathematica Symbol)

SpheroidalS1Prime[n, m, \[Gamma], z] gives the derivative with respect to z of the radial spheroidal function S_n^m, (1)(\[Gamma], z) of the first kind.