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:

1973-06-01

Pagination or Media Count:

18.0

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 Turans 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