BUILT-IN MATHEMATICA SYMBOL

SeriesCoefficient

SeriesCoefficient[series, n]
finds the coefficient of the -order term in a power series in the form generated by Series.

SeriesCoefficient[f, {x, x0, n}]
finds the coefficient of in the expansion of f about the point .

SeriesCoefficient[f, {x, x0, nx}, {y, y0, ny}, ...]
finds a coefficient in a multivariate series.

Details and OptionsDetails and Options

• In the form SeriesCoefficient[f, {x, x0, n}], the order n can be symbolic.
• The following options can be given:
•  Assumptions \$Assumptions assumptions to make about parameters Method Automatic method to use
• For explicit SeriesData objects, the form SeriesCoefficient[series, {nx, ny, ...}] can also be used.

ExamplesExamplesopen allclose all

Basic Examples (4)Basic Examples (4)

Find the coefficient for a term in a series:

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Find the coefficient of the general term in a series:

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Find the coefficient for a term in a multivariate series:

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Find the coefficient for a general term in a multivariate series:

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