Chebyshev's method for exponential maps

Subhasis Ghora, Tarakanta Nayak, Soumen Pal +1

It is proved that the Chebyshev's method applied to an entire function $f$ is a rational map if and only if $f(z)=p(z)e^{q(z)}$, for some polynomials $p$ and $q$. These are refe…