Abstract: We investigate the distribution of the logarithmic derivative of the Riemann zeta-function on the line ℜ(s)=σ, where σ lies in a certain range near the critical line σ=½. For such σ, we show ...

A representation for the logarithmic derivative $(f'/f)$ of an entire function $f$ of finite order, parametrically in terms of some zeros and critical points of $f ...

Due to a planned power outage on Friday, 1/14, between 8am-1pm PST, some services may be impacted. A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying ...

Transactions of the American Mathematical Society, Vol. 263, No. 2 (Feb., 1981), pp. 493-500 (8 pages) Let $\Delta'$ be the class of all derivatives. The main goal of this paper is the investigation ...

The input argument fun refers to an IML module that specifies a function that returns f, a vector of length m for least-squares subroutines or a scalar for other optimization subroutines. The returned ...

Harmonic mappings and logharmonic functions occupy a central role in complex analysis and applied mathematics. Harmonic mappings are functions that satisfy Laplace’s equation and are frequently ...

Abstract: This paper describes a novel model and short-time estimation method of nonstationary or generalized sinusoids and their parameters. The model expresses the time derivative of log-amplitude ...