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power series
noun
Mathematics.
- an infinite series in which the terms are coefficients times successive powers of a given variable, or times products of powers of two or more variables.
power series
noun
- a mathematical series whose terms contain ascending positive integral powers of a variable, such as a 0 + a 1 x + a 2 x ² +…
power series
- A sum of successively higher integral powers of a variable or combination of variables, each multiplied by a constant coefficient.
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yvlog History and Origins
Origin of power series1
First recorded in 1890–95
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Example Sentences
Examples have not been reviewed.
As regards power series we have the following theorems: 1.
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A method was given by J. H. Lambert for expressing as a continued fraction of the preceding type the quotient of two convergent power series.
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This function is analytic in the domain, and the power series representing it is the Taylor’s series for the function.
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The theory of power series has been developed chiefly from the point of view of the theory of functions of complex variables.
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A polar point of indetermination is a point about which the function can be expressed as a quotient of two converging power series, both of which vanish at the point.
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