HypergeometricU (Built-in Mathematica Symbol)

HypergeometricU[a, b, z] is the confluent hypergeometric function U(a, b, z).

Quotient (Built-in Mathematica Symbol)

Quotient[m, n] gives the integer quotient of m and n. Quotient[m, n, d] uses an offset d.

SpheroidalPS (Built-in Mathematica Symbol)

SpheroidalPS[n, m, \[Gamma], z] gives the angular spheroidal function PS n, m (\[Gamma], z) of the first kind.

Sec (Built-in Mathematica Symbol)

Sec[z] gives the secant of z.

SeriesCoefficient (Built-in Mathematica Symbol)

SeriesCoefficient[series, n] finds the coefficient of the n\[Null]\[Null]^th-order term in a power series in the form generated by Series. SeriesCoefficient[f, {x, x_0, n}] ...

Extrapolation Method for NDSolve (Mathematica Tutorial)

Extrapolation methods are a class of arbitrary-order methods with automatic order and step-size control. The error estimate comes from computing a solution over an interval ...

RecurrenceTable (Built-in Mathematica Symbol)

RecurrenceTable[eqns, expr, {n, n_max}] generates a list of values of expr for successive n based on solving the recurrence equations eqns.RecurrenceTable[eqns, expr, nspec] ...

Advanced Topics in Algebra (Mathematica Overview)

Complex Polynomial Systems Real Polynomial Systems Diophantine Polynomial Systems

Riccati Equations (Mathematica Tutorial)

A Riccati equation is a first-order equation of the form This equation was used by Count Riccati of Venice (1676–1754) to help in solving second-order ordinary differential ...

Introduction to Systems of ODEs (Mathematica Tutorial)

Systems of ODEs are important in various fields of science, such as the study of electricity and population biology. Like single ODEs, systems of ODEs can classified as ...