George Polya: Collected Papers

by Georg Polya

Published 15 November 1974
Papers on the location and behavior of zeros, including some of Polya's most influential work.The papers in this volume cluster about the following topics: the location of the zeros of polynomials and other analytic functions; the approximation of analytic functions by polynomials in which the location of zero is restricted (these papers represent some of Polya's most influential work); the behavior of the zeros of successive derivatives; the zeros of functions defined by trigonometric integrals; and the signs of derivatives and their analytic character. The volume also includes a paper that is not about zeros but contains a representation theorem for positive polynomials in several variables.