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Keywords:
entire function; differential polynomial; derivative; sharing
entire function; differential polynomial; derivative; sharing
Summary:
We study the uniqueness of entire functions which share a polynomial with their linear differential polynomials.
References:
[1] Hayman, W. K.: Meromorphic Functions. Oxford Mathematical Monographs. Clarendon Press, Oxford (1964). MR 0164038 | Zbl 0115.06203
[2] Jank, G., Mues, E., Volkmann, L.: Meromorphic functions which share some finite value with its first and second derivative. Complex Variables, Theory Appl. 6 (1986), 51-71 German. MR 0850534 | Zbl 0603.30037
[3] Lahiri, I., Kaish, I.: An entire function sharing a polynomial with its derivatives. Boll. Unione Mat. Ital. 10 (2017), 229-240. DOI 10.1007/s40574-016-0077-x | MR 3655027 | Zbl 06802157
[4] Laine, I.: Nevanlinna Theory and Complex Differential Equations. De Gruyter Studies in Mathematics 15. W. de Gruyter, Berlin (1992). MR 1207139 | Zbl 0784.30002
[5] Li, P.: Entire functions that share one value with their linear differential polynomials. Kodai Math. J. 22 (1999), 446-457. DOI 10.2996/kmj/1138044096 | MR 1727304 | Zbl 0985.30019
[6] Yang, C.-C., Yi, H.-X.: Uniqueness Theory of Meromorphic Functions. Mathematics and Its Applications 557. Kluwer Academic Publishers, Dordrecht; Science Press, Beijing (2003). MR 2105668 | Zbl 1070.30011
[7] Zhong, H. L.: Entire functions that share one value with their derivatives. Kodai Math. J. 18 (1995), 250-259. DOI 10.2996/kmj/1138043421 | MR 1346904 | Zbl 0840.30013
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