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 ...

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 ...

Extending a result of Khavinson and $\acute{S}wi\cedil{a}tek$ (2003) we show that the rational harmonic function $\overline {r(z)} - z$, where r(z) is a rational function of degree n > 1, has no more ...

A research team led by Prof.GUO Guangcan from the University of Science and Technology of China (USTC),collaborated with Prof.Jiannis K.Pachos from University of Leeds,has experimentally calculated ...