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Definition of Power series
1. Noun. The sum of terms containing successively higher integral powers of a variable.
Lexicographical Neighbors of Power Series
Literary usage of Power series
Below you will find example usage of this term as found in modern and/or classical literature:
1. An Introduction to the Theory of Infinite Series by Thomas John I'Anson Bromwich (1908)
"Thus suppose that we have a power-series which is absolutely convergent for ...
Hence we have the result that a power series converges uniformly in an ..."
2. A Course in Mathematical Analysis by Edouard Goursat, Earle Raymond Hedrick (1916)
"Development of an infinite product in power series. Let be an infinite product
where each of the functions u,. is a continuous function of the complex ..."
3. The Theory of Functions of a Real Variable and the Theory of Fourier's Series by Ernest William Hobson (1907)
"THE CONVERGENCE OF POWER-SERIES. 355. A series of which the (n + l)th term is of
the form anxn is called a power-series. It will be assumed that the domain ..."
4. Introduction to the Theory of Fourier's Series and Integrals by Horatio Scott Carslaw (1921)
"Extensions of Abel's Theorem on the power series. I. We have seen in § 72 that
if the series converges, the power series is uniformly convergent, ..."
5. The Encyclopædia Britannica: A Dictionary of Arts, Sciences, Literature and by Hugh Chisholm (1910)
"Repeating for this power series, in tt the argument applied about 2 = 0 for ...
Such a series is called a power series. lía real and positive number M ..."
6. Algebra: An Elementary Text Book for the Higher Classes of Secondary Schools by George Chrystal (1889)
"We may speak of it for shortness as the power series, and we shall consider
both «„ and 2 to be complex numbers ; say an = rn(cos o« + i sin a^), ..."
7. Functions of a Complex Variable by Edgar Jerome Townsend (1915)
"power series. A series of the form ao + aiZ + a*? + • • • + anz" + • • • , where
n is a positive integer and an = an + ibn = pn(cos 0n + i sin 0n), ..."
8. Differential and Integral Calculus by Clyde Elton Love (1916)
"power series 152. power series. Up to this point we have considered only series
whose terms are constants. The case of greatest practical importance, ..."
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