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power series


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power series

power series

Power series solutions of the polytrope equations

Approximation by power series with ± 1 coefficients

Accuracy and stability of inversion of power series

Computing complex zeros of polynomials and power series

Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series

Electromagnetic radiation from collapsing stars — I. The power-series distribution of particles in magnetospheres

Postage and Power: U.S. Nationalism and the 1970s “Bicentennial” and “Americana” Stamp Series

The Frobenius Power Series Solution for Cylindrically Anisotropic Radially Inhomogeneous Elastic Materials

A new approach for measuring power spectra and reconstructing time series in active galactic nuclei

Eileen V. Wallis. Earning Power: Women and Work in Los Angeles, 1880–1930. (The Urban West Series.) Reno: University of Nevada Press. 2010. Pp. xiv, 248. $39.95

Nwando Achebe. Farmers, Traders, Warriors, and Kings: Female Power and Authority in Northern Igboland, 1900–1960. (Social History of Africa Series.) Portsmouth: Heinemann. 2005. Pp. xii, 274. $29.95

W. Henry Lambright. Powering Apollo: James E. Webb of NASA. (New Series in NASA History.) Baltimore: Johns Hopkins University Press. 1995. Pp. xi, 271. $35.95

Vivienne Bennett. The Politics of Water: Urban Protest, Gender, and Power in Monterrey, Mexico. (Pitt Latin American Series.) Pittsburgh, Pa.: University of Pittsburgh Press. 1995. Pp. xvii, 232. $49.95

Scott M. Cutlip. The Unseen Power: Public Relations; A History. (LEA's Communication Series.) Hillsdale, N.J.: Lawrence Erlbaum. 1994. Pp. xxi, 807. Cloth $125.00, paper $39.95

Jenny Adams. Power Play: The Literature and Politics of Chess in the Late Middle Ages. (The Middle Ages Series.) Philadelphia: University of Pennsylvania Press. 2006. Pp. 252. $49.95

Agrarian Structure & Political Power: Landlord & Peasant in the Making of Latin America. Edited by Evelyne Huber and Frank Safford, Pitt Latin American Series. (Pittsburgh: University of Pittsburgh Press, 1995. vii plus 242pp.)

Nature and Power: A Global History of the Environment. By Joachim Radkau. Publications of the German Historical Institute Series. New York: Cambridge University Press, 2008. xvii + 430 pp. Notes and index. Cloth $80.00, paper $24.99

 

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A series a0+a1x+a2x2+a3x3+…+anxn+…, in ascending powers of x, with coefficients a0, a1, a2,…, is a power series in x. For example, the geometric series 1+x+x2+…+xn+…is a power series; this has a sum to infinity (see series) only if −1 < x < 1. Further examples of power series are given in Appendix 4. Notice that it is necessary to say for what values of x each series has the given sum; this is the case with any power series.

Subjects: Mathematics.


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