Some results on uniqueness of an entire function with its shift difference
In the paper, we have shown that every entire solution of the differential difference equation $Δ_η^{m}f-Q_1=(Δ_η^{k}f-Q_{2})e^{P}$ satisfy hyper order of $f=$degree of $P$ and using this result we prove differential difference counter part Brück conjecture. Also we have proved differential difference counter part Brück conjecture for the special case of hyper order of $f<\frac{1}{2}$.
math.CV↗