Accession Number : AD0763896

Title :   Symbol Manipulation with Turan's Inequality for the Legendre Polynomials.

Descriptive Note : Memorandum rept.,

Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD

Personal Author(s) : Egerland,Walter O. ; Francis,George C.

Report Date : JUN 1973

Pagination or Media Count : 18

Abstract : SYMAP 2, an operational computer-based algebraic symbol manipulator developed at the Ballistic Research Laboratory, has been applied as a research tool. Its use in testing a conjecture on the convexity of Turan's determinant for the Legendre polynomials is described. An analytic proof of the conjecture and an application are also given. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), INEQUALITIES), POLYNOMIALS, COMPUTER PROGRAMMING

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE