Documentation

This is machine translation

Translated by
Mouseover text to see original. Click the button below to return to the English verison of the page.

Note: This page has been translated by MathWorks. Please click here
To view all translated materals including this page, select Japan from the country navigator on the bottom of this page.

Expansion

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

MuPAD Functions

 `asympt` Compute an asymptotic series expansion `mtaylor` Compute a multivariate Taylor series expansion `O` Domain of order terms (Landau symbols) `ORDER` Default number of terms in series expansions `pade` Pade approximation `series` Compute a generalized series expansion `taylor` Compute a Taylor series expansion

MuPAD Domains

 `Series::Puiseux` Truncated Puiseux series expansions `Series::gseries` Generalized 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`.

Was this topic helpful?

Watch now