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Keywords:
uniqueness; entire functions; difference operators
uniqueness; entire functions; difference operators
Summary:
In this work, we are implementing some applications of Nevanlinna theory to entire functions that share a small function with two difference operators and we also generalize one of the results in the paper [3].
References:
[1] Chen, B., Chen, Z.X., Li, S.: Uniqueness problems on entire functions and their difference operators or shifts. Abstr. Appl. Anal. 2012 (2012), 8 pp., Article ID 906893. DOI 10.1155/2012/906893 | MR 2926877
[2] Chen, B., Li, S.: Uniqueness theorems on entire functions that share small functions with their difference operators. Adv. Differential Equations 2014 (311) (2014), 11 pp. MR 3360566
[3] Farissi, A. El, Latreuch, Z., Asiri, A.: On the uniqueness theory of entire functions and their difference operators. Complex Anal. Oper. Theory 10 (6) (2016), 1317–1327. DOI 10.1007/s11785-015-0514-3 | MR 3532314
[4] Farissi, A. El, Latreuch, Z., Belaïdi, B., Asiri, A.: Entire functions that share a small function with their difference operators. Electron. J. Differential Equations 2016 (32) (2016), 13 pp. MR 3466503
[5] Halburd, R.G., Korhonen, R.J.: Nevanlinna theory for the difference operator. Ann. Acad. Sci. Fenn. Math. 31 (2006), 463–478. MR 2248826 | Zbl 1108.30022
[6] Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J.: Uniqueness of meromorphic functions sharing values with their shifts. Complex Var. Elliptic Equ. 56 (1–4) (2011), 81–92. DOI 10.1080/17476930903394770 | MR 2774582
[7] Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J., Zhang, J.: Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity. J. Math. Anal. Appl. 355 (2009), 352–363. DOI 10.1016/j.jmaa.2009.01.053 | MR 2514472
[8] Latreuch, Z., Farissi, A. El, Belaïdi, B.: Entire functions sharing small functions with their difference operators. Electron. J. Differential Equations 2015 (132) (2015), 10 pp. MR 3358504
[9] Li, S., Gao, Z.: Entire functions sharing one or two finite values CM with their shifts or difference operators. Arch. Math. (Basel) 97 (5) (2011), 475–483. DOI 10.1007/s00013-011-0324-4 | MR 2860575
[10] Yang, C.C., Yi, H.X.: Uniqueness Theory of Meromorphic Functions. Beijing: Science Press, 2006.
[11] Zhang, J., Liao, L.: Entire functions sharing some values with their difference operators. Sci. China A 57 (10) (2014), 2143–2152. DOI 10.1007/s11425-014-4848-5 | MR 3247539
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