Abstract
AVERAGE NUMBER OF REAL ZEROS OF RA NDOM TRIGONOMETRIC POLYNOMIAL
*Dr. P.K. Mishra, Subrat Kumar Biswal, khitish Kumar Behera, madhumsita Paikaray, and shuvam Mohanty
ABSTRACT
Let EN (T; ??, ???) denote the average number of real zeros of the random trigonometric polynomial T=Tn(?, ?)= In the interval (??, ???). Assuming that ak(?) are independent random variables identically distributed according to the normal law and that bk = kp (p ? 0) are positive constants, we show that EN (T: 0, 2?) ~ Outside an exceptional set of measure at most (2/ n) where ? = constant S ~ 1 S? ~ 1 1991 Mathematics subject classification (amer. Math. Soc.): 60 B 99.
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