Language | English |
---|---|

Pages | 389-393 |

Journal | Applied Mathematics Letters |

Volume | 15 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 May 2002 |

### Cite this

*Applied Mathematics Letters*,

*15*(3), 389-393. https://doi.org/10.1016/S0893-9659(01)00148-3

}

*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.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Expected Density of Complex Zeros of Random Hyperbolic Polynomials

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

Y1 - 2002/5/1

U2 - 10.1016/S0893-9659(01)00148-3

DO - 10.1016/S0893-9659(01)00148-3

M3 - Article

VL - 15

SP - 389

EP - 393

JO - Applied Mathematics Letters

T2 - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

IS - 3

ER -