A further result related to Br\"uck conjecture and linear differential polynomial
Abstract
In connection to the conjecture of R. Br\"uck we improve a uniqueness problem for entire function that share a polynomial with linear differential polynomial.Downloads
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References
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\bibitem{r2} R. Br\"uck, On entire functions which share one value CM with their first derivative, Result. Math., 30(1996), pp. 21-24.
\bibitem{r3} Z. X. Chen and C. C. Yang, Some further results on the zeros and growths of entire solutions of second order linear differential equations, Kodai
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\bibitem{r4} Z. X. Chen and K. H. Shon, On conjecture of R. Br\"uck concerning the entire function sharing one value CM with its derivative, Taiwanese J. Math., 8(2)(2004), pp. 235-244.
\bibitem{r5} G. G. Gundersen and L. Z. Yang, Entire functions that share one value with one or two of their derivatives, J. Math. Anal. Appl., 223(1998), pp. 88-95.
\bibitem{r5.1} X. M. Li and H. X. Yi, Some results on the regular solutions of a linear differential equation, Comp. Math. Appl., 56(2008), pp. 2210-2221.
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\bibitem{r7} I. Laine, Nevanlinna Theory and Complex Differential Equations, De Gruyter, Berlin, New York (1993).
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\bibitem{r8} L. A. Rubel and C. C. Yang, Values shared by an entire function and its derivative, Lecture Notes in Math., Vol. 599, Springer-Verlag, Berlin (1977), pp. 101-103.
\bibitem{r9} J. P. Wang, Entire functions that share a polynomial with one of their derivatives, Kodai Math. J., 27(2004), pp. 144-151.
\bibitem{r10} L. Z. Yang, Solution of a differential equation and its applications, Kodai Math. J., 22(1999), pp. 458-464.
\end{thebibliography}
\bibitem{r2} R. Br\"uck, On entire functions which share one value CM with their first derivative, Result. Math., 30(1996), pp. 21-24.
\bibitem{r3} Z. X. Chen and C. C. Yang, Some further results on the zeros and growths of entire solutions of second order linear differential equations, Kodai
Math. J., 22(1999), pp. 273-285.
\bibitem{r4} Z. X. Chen and K. H. Shon, On conjecture of R. Br\"uck concerning the entire function sharing one value CM with its derivative, Taiwanese J. Math., 8(2)(2004), pp. 235-244.
\bibitem{r5} G. G. Gundersen and L. Z. Yang, Entire functions that share one value with one or two of their derivatives, J. Math. Anal. Appl., 223(1998), pp. 88-95.
\bibitem{r5.1} X. M. Li and H. X. Yi, Some results on the regular solutions of a linear differential equation, Comp. Math. Appl., 56(2008), pp. 2210-2221.
\bibitem{r6} I. Lahiri and S. Das, A note on a conjecture of R. Br\"uck, Appl. Math. E-Note., 21(2021), pp. 152-156.
\bibitem{r7} I. Laine, Nevanlinna Theory and Complex Differential Equations, De Gruyter, Berlin, New York (1993).
\bibitem{r8.1} Z. Mao, Uniqueness theorems on entire functions and their linear differential polynomials, Results Math., 55(2009), pp. 447-456.
\bibitem{r8} L. A. Rubel and C. C. Yang, Values shared by an entire function and its derivative, Lecture Notes in Math., Vol. 599, Springer-Verlag, Berlin (1977), pp. 101-103.
\bibitem{r9} J. P. Wang, Entire functions that share a polynomial with one of their derivatives, Kodai Math. J., 27(2004), pp. 144-151.
\bibitem{r10} L. Z. Yang, Solution of a differential equation and its applications, Kodai Math. J., 22(1999), pp. 458-464.
\end{thebibliography}
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2025-05-28
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