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 ...

Let's explore some common problem types found in Math 1314 Lab Module 4 and develop step-by-step solutions: Problem: Given the polynomial function f (x) = x^3 - 3x^2 - x + 3, find the zeros, determine ...

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 ...

Advances in Applied Probability, Vol. 19, No. 3 (Sep., 1987), pp. 632-651 (20 pages) We consider a class of functions on [0,∞), denoted by Ω , having Laplace transforms with only negative zeros and ...