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Random polynomials with complex coefficients

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  • Farahmand, K.

Abstract

There are many known asymptotic estimates for the number of real zeros that an algebraic or trigonometric polynomial are expected to have when their coefficients are real random variables. The present paper considers the case where the coefficients are complex. The coefficients are assumed to be independent normally distributed with mean zero. A general formula for the case of any complex non-stationary random process is also presented.

Suggested Citation

  • Farahmand, K., 1996. "Random polynomials with complex coefficients," Statistics & Probability Letters, Elsevier, vol. 27(4), pages 347-355, May.
    • Handle: RePEc:eee:stapro:v:27:y:1996:i:4:p:347-355
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