# On the number of solutions of some transcendental equations

## TL;DR

This paper establishes bounds on the number of solutions for a class of transcendental equations involving polynomials and logarithmic terms, advancing understanding of their solution distribution.

## Contribution

It provides new upper and lower bounds for solutions of equations combining polynomial and logarithmic functions, a novel analysis in transcendental equation theory.

## Key findings

- Derived explicit bounds for solutions count
- Extended previous results to broader polynomial classes
- Enhanced understanding of solution distribution in transcendental equations

## Abstract

We give upper and lower bounds for the number of solutions of the equation $p(z)\log|z|+q(z)=0$ with polynomials $p$ and $q$.