2 papers
math.CV2025
Vanishing, Unbounded and Angular Shifts on the Quotient of the Difference and the Derivative of a Meromorphic Function
Lasse Asikainen, Yu Chen, Risto Korhonen
We show that for a vanishing period difference operator of a meromorphic function \( f \), there exist the following estimates regarding proximity functions, \[ \lim_{η\to 0} m_η\l…
math.CV2023
A new proximity function estimate on the quotient of the difference and the derivative of a meromorphic function
Lasse Asikainen, Juha-Matti Huusko, Risto Korhonen
It is shown that, under certain assumptions on the growth and value distribution of a meromorphic function , \begin{equation*} m\left(r,\frac{Δ_cf - ac}{f' - a}\right)=S(r,f'…