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 ...

In this article we will study the spectral properties of a deterministic signal exponentially damped in the past and in the future (the damping in the future is controlled by a time constant). The ...

American Journal of Mathematics, Vol. 124, No. 1 (Feb., 2002), pp. 1-48 (48 pages) We consider zeta functions defined as Euler products of $W(p,p^{-s})$ over all ...

Let f(z) be any transcendental entire function. Let rk denote the absolute value of the zero zk of f(k)(z) which is nearest to the origin. Ålander, Erdös and Rényi, and Pólya have investigated the ...

In a previous blog [1] I wrote: During my academic career I have observed that one of the most difficult subjects to teach as well as to learn is systems theory. All those poles and zeros may make ...