IJPAM: Volume 28, No. 2 (2006)

SOME NOTES ON ASYMPTOTIC BEHAVIOR
OF RUDIN-SHAPIRO POLYNOMIALS

M. Taghavi$^1$, H. Azadi Kenary$^2$
$^{1,2}$Department of Mathematics
College of Science
Shiraz University
Shiraz, 71454, IRAN
$^1$e-mail: taghavi@math.susc.ac.ir
$^2$e-mail: hazadi@shirazu.ac.ir


Abstract.We study the asymptotic behavior of Rudin-Shapiro polynomials defines as the ratio of $2m$-norm with $2$-norm of the Rudin-Shapiro polynomials. In 1980 Saffari stated a conjecture about asymptotic behavior of Rudin-Shapiro. In this article, we prove this conjecture for $m=2,3,5,7$.

Received: March 4, 2006

AMS Subject Classification: 47A25

Key Words and Phrases: Rudin-Shapiro polynomials, asymptotic behavior

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 28
Issue: 2