Abstract
UDC 517.9
We study the uniqueness problems of certain types of differential-difference polynomials sharing a small function.In this paper, we not only solve the open problem occurred in [A. Banerjee, S. Majumder, <em>On the uniqueness of certain types of differential-difference polynomials</em>, Anal. Math., <strong>43</strong>, № 3, 415-444 (2017)], but also present our main results in a more generalized way.
Publisher
Institute of Mathematics National Academy of Sciences of Ukraine
Reference20 articles.
1. A. Banerjee, S. Majumder, On the uniqueness of certain types of differential-difference polynomials, Anal. Math., 43, № 3, 415 – 444 (2017), https://doi.org/10.1007/s10476-017-0402-3
2. A. Banerjee, S. Mukherjee, Uniqueness of meromorphic functions concerning differential monomials sharing the same value, Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 50, 191 – 206 (2007).
3. W. Bergweiler, A. Eremenko, On the singularities of the inverse to a meromorphic function of finite order, Rev. Mat. Iberoam, 11, 355 – 373 (1995), https://doi.org/10.4171/RMI/176
4. Y. M. Chiang, S. J. Feng, On the Nevanlinna characteristic $f(z+eta)$ and difference equations in complex plane, Ramanujan J., 16, 105 – 129 (2008), https://doi.org/10.1007/s11139-007-9101-1
5. M. R. Chen, Z. X. Chen, Properties of difference polynomials of entire functions with finite order, Chinese Ann. Math. Ser. A, 33, 359 – 374 (2012).
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献