Expansion

Taylor series, theta series, Pade series, and generalized series

Note

MuPAD® notebooks will be removed in a future release. Use MATLAB® live scripts instead.

To convert a MuPAD notebook file to a MATLAB live script file, see convertMuPADNotebook. MATLAB live scripts support most MuPAD functionality, although there are some differences. For more information, see Convert MuPAD Notebooks to MATLAB Live Scripts.

MuPAD Functions

asymptCompute an asymptotic series expansion
mtaylorCompute a multivariate Taylor series expansion
ODomain of order terms (Landau symbols)
ORDERDefault number of terms in series expansions
padePade approximation
seriesCompute a generalized series expansion
taylorCompute a Taylor series expansion

MuPAD Domains

Series::PuiseuxTruncated Puiseux series expansions
Series::gseriesGeneralized series expansions

Examples and How To

Compute Taylor Series for Univariate Expressions

Taylor series expansions serve for approximating an arbitrary expression by a polynomial expression around some value of a variable.

Compute Taylor Series for Multivariate Expressions

To compute a series expansion for a multivariate expression, use the mtaylor command.

Control Number of Terms in Series Expansions

Taylor series expansions approximate an arbitrary expression with a polynomial.

Compute Generalized Series

The Taylor series expansion is the most common way to approximate an expression by a polynomial.

Concepts

O-term (The Landau Symbol)

When computing the series expansions, you get expressions with one of the terms represented as the Landau symbol O.