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 ...

In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...

Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

Periodic functions and their representation by Fourier series possess a great importance in different branches of fundamental and applied sciences, in particular, in optics. It is well known that the ...