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World Journal of Engineering Research and Technology

( An ISO 9001:2015 Certified International Journal )

An International Peer Reviewed Journal for Engineering Research and Technology

An Official Publication of Society for Advance Healthcare Research (Reg. No. : 01/01/01/31674/16)

ISSN 2454-695X

Impact Factor : 7.029

ICV : 79.45

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Indexing

Abstract

EXPECTED ZEROS OF RANDOM ORTHOGONAL POLYNOMIALS ON THE REAL LINE

*Pralipta Rout and Dr. P. K. Mishra

ABSTRACT

We study the expected number of zeros for random linear combination of orthogonal polynomials with respect to measures supported on the real line. The counting measures of zeros for these random polynomials converge weakly to the corresponding equilibrium measures from potential theory. We quantify this convergence and obtain asymptotic results on the expected number of zeros located in various sets of plane. Random coefficients may be dependent and need not have identical distributions in our results.

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