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Some results on uniqueness of an entire function with its shift difference

Md. AdudPratap SahaSamten Tamang
Dec 2022
摘要
In the paper, we have shown that every entire solution of the differentialdifference equation $\Delta_{\eta}^{m}f-Q_1=(\Delta_{\eta}^{k}f-Q_{2})e^{P}$satisfy hyper order of $f=$degree of $P$ and using this result we provedifferential difference counter part Br\"uck conjecture. Also we have proveddifferential difference counter part Br\"uck conjecture for the special case ofhyper order of $f<\frac{1}{2}$.
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