The zeros of this function act the same as the roots of a quadratic equation –plugging them into the function as its values causes the function to equal zero. However, determining these values is ...

We study the distribution of complex zeros of Gaussian harmonic polynomials with independent complex coefficients. The expected number of zeros is evaluated by applying a formula of independent ...

Our main tool is a distributional inequality for the number of zeros of some families of univariate holomorphic functions depending analytically on a parameter. We obtain this inequality by methods of ...