Expected Density of Complex Zeros of Random Hyperbolic Polynomials

AV Grigorash, K Farahmand

    Research output: Contribution to journal › Article

    LanguageEnglish
    Pages389-393
    JournalApplied Mathematics Letters
    Volume15
    Issue number3
    DOIs
    Publication statusPublished - 1 May 2002

    Cite this

    Grigorash, AV ; Farahmand, K. / Expected Density of Complex Zeros of Random Hyperbolic Polynomials. In: Applied Mathematics Letters. 2002 ; Vol. 15, No. 3. pp. 389-393.
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    author = "AV Grigorash and K Farahmand",
    note = "Other Details ------------------------------------ The expected number of real zeros of a hyperbolic polynomial with real random coefficients is known. In this paper for the first time we study the case of complex coefficients. The density of the complex zeros of such a polynomial is obtained. We also highlight how our results can be modified to yield the result for other types of polynomials. We show that the complex zeros of a random hyperbolic polynomial are distributed approximately uniformly along the imaginary axis, as the degree of the polynomial tends to infinity.",
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    Grigorash, AV & Farahmand, K 2002, 'Expected Density of Complex Zeros of Random Hyperbolic Polynomials', Applied Mathematics Letters, vol. 15, no. 3, pp. 389-393. https://doi.org/10.1016/S0893-9659(01)00148-3

    Expected Density of Complex Zeros of Random Hyperbolic Polynomials. / Grigorash, AV; Farahmand, K.

    In: Applied Mathematics Letters, Vol. 15, No. 3, 01.05.2002, p. 389-393.

    Research output: Contribution to journal › Article

    TY - JOUR

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    AU - Grigorash, AV

    AU - Farahmand, K

    N1 - Other Details ------------------------------------ The expected number of real zeros of a hyperbolic polynomial with real random coefficients is known. In this paper for the first time we study the case of complex coefficients. The density of the complex zeros of such a polynomial is obtained. We also highlight how our results can be modified to yield the result for other types of polynomials. We show that the complex zeros of a random hyperbolic polynomial are distributed approximately uniformly along the imaginary axis, as the degree of the polynomial tends to infinity.

    PY - 2002/5/1

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    JO - Applied Mathematics Letters

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    Grigorash AV, Farahmand K. Expected Density of Complex Zeros of Random Hyperbolic Polynomials. Applied Mathematics Letters. 2002 May 1;15(3):389-393. https://doi.org/10.1016/S0893-9659(01)00148-3

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