Abstract
The purpose of the paper is to study the uniqueness problems of certain types of differential-difference polynomials sharing a small function or polynomial of certain degree under relaxed sharing hypothesis. We not only point out some gaps in the proof of the main results in [18] and [13], but also rectifying the errors, present our main results in a more compact way. In a nutshell, our results improve and generalize and rectify a recent result due to Zhang and Yi [18] and Liu and Yi [13]. Finally we indicate some questions for future research.
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This research work is supported by the Council Of Scientific and Industrial Research, Extramural Research Division, CSIR Complex, Pusa, New Delhi-110012, India, under the sanction project no. 25(0229)/14/EMR-II.
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Banerjee, A., Majumder, S. On the uniqueness of certain types of differential-difference polynomials. Anal Math 43, 415–444 (2017). https://doi.org/10.1007/s10476-017-0402-3
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DOI: https://doi.org/10.1007/s10476-017-0402-3