Accession Number:

ADA149384

Title:

On the Spans of Polynomials and the Spans of a Laguerre-Polya-Schur Sequence of Polynomials.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1984-10-01

Pagination or Media Count:

20.0

Abstract:

This document proves a conjecture of Meir and Sharma from 1969 determining the least value of the span of a certain derivative Px for or 3, if x sub 1 and x sub n are kept fixed. Tools used are the Descartes rule of signs and the inequality or H between the arithmetic and harmonic mean. The author also applies his results to the infinite sequences of polynomials introduced by G. Polya and I. Schur in a famous paper from 1914.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE