3 papers
math.CV2024
Maximum and average valence of meromorphic functions
Aimo Hinkkanen, Joseph Miles
If is a meromorphic function from the complex plane to the extended complex plane , for let be the maximum number of solu…
math.CV2022
Asymptotic values of entire functions of infinite order
Aimo Hinkkanen, Joseph Miles
We prove that there exists an entire function for which every complex number is an asymptotic value and whose growth is arbitrarily slow subject only to the necessary condition tha…
math.CV2021
Asymptotic functions of entire functions
Aimo Hinkkanen, Joseph Miles, John Rossi
If is an entire function and is a complex number, is said to be an asymptotic value of if there exists a path from to infinity such that tends to…