Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...

Let G(z) be a real entire function of order less than 2 with only real zeros. Then we classify certain distribution functions F such that the convolution (G * dF)(z) = ∫∞ -∞ G(z - is) dF(s) has only ...

We show that certain sums of products of Hermite-Biehler entire functions have only real zeros, extending results of Cardon. As applications of this theorem, we construct sums of exponential functions ...