科研之友
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摘要
Each degree n + k polynomial of the form (x + 1)(k) (x(n) + c(1)x(n-1) + . . . + c(n)), k is an element of N, is representable as Schur-Szego composition of n polynomials of the form (x+1)(n+k-1)(x+a(j)). We study properties of the affine mapping Phi(n,k):(c(1), . . . , c(n)) bar right arrow (sigma(1), . . . , sigma(n)), where sigma(i) = c the elementary symmetric polynomials of the numbers a(j). We study also properties of a similar mapping for functions of the form e(x)P, where P is a polynomial, P(0) = 1, and we extend the Descartes rule to them.
- 出版日期2010
