Analytic Function Theory

A. I. Markushevich

Chapter Chapter 2 in Mathematics of the 19th Century, 1996, pp 119-272 from Springer

Abstract: Abstract The machinery of power series for representing functions and solving various problems of mathematics and mechanics was used systematically by Newton starting in the l660’s. However it was left to the eighteenth century to perfect the technique of operating with power series, the series used by Newton being supplemented by the series of Taylor and Lagrange. In the eighteenth century, mostly at the initiative of Euler. infinite products, partial fraction expansions, integral representations (gamma function, elliptic integrals), and continued fractions were applied along with power series.

Keywords: Riemann Surface; Entire Function; Elliptic Function; Theta Function; Algebraic Function (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-3-0348-9173-8_2

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