Complex Zeros of Algebraic Polynomial with Non-Zero Mean Random Coefficients |
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Authors: | K Farahmand A Grigorash |
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Institution: | (1) Department of Mathematics, University of Ulster at Jordanstown, Co. Antrim, BT37 0QB, United Kingdom |
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Abstract: | In this paper we obtain a formula for the average density of the distribution of complex zeros of an algebraic polynomial with random coefficients. The coefficients are assumed independent identical normally distributed random variables with mean and variance 2. The value of the average density for the case of =0 and 2=1 was obtained previously. Some limits of the distribution of the complex zeros are provided using the presented formula. |
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Keywords: | Number of complex zeros real roots complex roots random algebraic polynomials Jacobian of transformation |
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