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arXiv · 2212.13132

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

Md. Adud·Pratap Saha·Samten Tamang
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Abstract

In the paper, we have shown that every entire solution of the differential difference 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 prove differential difference counter part Br\"uck conjecture. Also we have proved differential difference counter part Br\"uck conjecture for the special case of hyper order of $f<\frac{1}{2}$.

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Md. Adud, Pratap Saha, Samten Tamang. 2022-12-23. Some results on uniqueness of an entire function with its shift difference. https://arxiv.org/abs/2212.13132

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