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 ...

The goal of this paper is to obtain some comparison inequalities for a linear operator between polynomials in the plane. The polynomials under study have constraints on their zeros and the estimates ...

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 ...

Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks. Originating ...

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 ...

A mathematician has solved a 200-year-old maths problem after figuring out a way to crack higher-degree polynomial equations without using radicals or irrational numbers. The method developed by ...