Abstract
STRONG RESULT & ASYMPTOTIC ESTIMATES OF REAL ZEROS OF RANDOM POLYNOMIALS
Dr. P. K. Mishra* and Dipty Rani Dhal
ABSTRACT
This paper provides asymptotic estimates strong result for real zeros of random algebraic polynomial for the expected number of real zeros of a random algebraic polynomial of the form The strong result for the lower bound was obtained in the general case by Their lower bound was ? ? ? ? ? ? n t k n n n log log ? log Which is obtained by taking ? ? ? ? ? ? ? n t k n n n ? ? log log in our present result. This result is better than that of Dunnage since our constant is (1/?2). Times his constant and our error term is smaller. The proof is based on the convergence of an integral of which an asymptotic estimation is obtained. 1991 Mathematics subject classification (amer. Math. Soc.): 60 B 99.
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