Power series

English

Alternative forms

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Noun

1. Template:Lb Any infinite series of the general form $\sum _{i=0}^{\mathrm{\infty }}{a}_i(x-c{)}^i$.
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   • 1899, Oskar Bolza, The Theory of Functions, 2013, Reprint, Books on Demand, page 69,

     From this theorem (for which in many cases Cauchy's theorem on double sums may be substituted) follow easily the rules for the multiplication and division of power series, Taylor's theorem for power series along with the rules for differentiation of power series and series of power series.

Usage notes

The constant c is sometimes called the Template:M of the power series, and is often 0.

Hyponyms

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Derived terms

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Translations

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References

• Oregon State University Mathematics Dept Web study guide - Introduction to Power Series
• Power Series, Folkmar Bornemann, Template:W, Template:W