References
- S. Bank and I. Laine, On the oscillation theory of f" + A(z)f = 0 where A is entire, Trans. Amer. Math. Soc. 273 (1982), no. 1, 351-363.
- P. D. Barry, On a theorem of Besicovitch, Quart. J. Math. Oxford Ser. (2) 14 (1963), 293-320. https://doi.org/10.1093/qmath/14.1.293
- R. Bruck, On entire functions which share one value CM with their first derivatives, Results Math. 30 (1996), no. 1-2, 21-24. https://doi.org/10.1007/BF03322176
- A. Chen, F. Lu, and H. X. Yi, Value sharing of meromorphic functions and their derivatives, J. Math. Anal. Appl. 359 (2009), no. 2, 696-703. https://doi.org/10.1016/j.jmaa.2009.06.024
- Z. X. Chen and Z. L. Zhang, Entire functions sharing fixed points with their higher order derivatives, Acta Math. Sinica (Chin. Ser.) 50 (2007), no. 6, 1213-1222.
- J. Grahl and C. Meng, Entire functions sharing a polynomial with their derivatives and normal families, Analysis (Munich) 28 (2008), no. 1, 51-61.
- I. Laine, Nevanlinna Theory and Complex Differential Equations, de Gruyter Studies in Mathematics, 15. Walter de Gruyter & Co., Berlin, 1993.
- X. M. Li and C. C. Gao, Entire functions sharing one polynomial with their derivatives, Proc. Indian Acad. Sci. Math. Sci. 118 (2008), no. 1, 13-26. https://doi.org/10.1007/s12044-008-0002-z
- X. J. Liu, S. Nevo, and X. C. Pang, On the kth derivative of meromorphic functions with zeros of multiplicity at least k+1, J. Math. Anal. Appl. 348 (2008), no. 1, 516-529. https://doi.org/10.1016/j.jmaa.2008.07.019
- F. Lu, J. F. Xu, and A. Chen, Entire functions sharing polynomials with their first derivatives, Arch. Math. (Basel) 92 (2009), no. 6, 593-601. https://doi.org/10.1007/s00013-009-3075-8
- F. Lu and H. X. Yi, On the uniqueness problems of meromorphic functions and their linear differential polynomials, J. Math. Anal. Appl. 362 (2010), no. 2, 301-312. https://doi.org/10.1016/j.jmaa.2009.09.027
- H. X. Yi and C. C. Yang, Uniqueness Theory of Meromorphic Functions, Science Press, Beijing, 1995.
- J. Zhang and L. W. Liao, On Bruck's conjecture on entire functions sharing one value with their derivatives, Houston. J. Math. 36 (2010), no. 2, 665-674.
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