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 ...

In this paper, a quantitative estimation on the number of zeros of the function f ⚬ g(z) - α(z) is derived, where f and g are transcendental entire functions and α(z) a nonconstant polynomial. As an ...

A method is given for calculating the value of Dirichlet $L$-functions near the real axis in the critical strip. As an application, some zeros for zeta functions of ...