Unicity of meromorphic functions concerning its differential-difference operators
*Raj Shree DharCorresponding authordhar.rajshree@jk.gov.inDepartment of Engineering and Computer TechnologyCanal RoadCluster UniversityJammu, Jammu and Kashmir, 180001, India0000-0001-7474-7447View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 14 Feb 2024
- Published Online:
- 15 Mar 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2065
- Pages:
- 543–555
Abstract
Keywords
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References
[1] W. K. Hayman, Meromorphic Functions, Clarendon Press, Oxford (1964).
[2] C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Press (2003).
[3] C. C. Yang and I. Laine, “On analogies between nonlinear difference and differential equations,” Proceedings of the Japan Academy A, vol. 86, no. 1, pp. 10-14 (2010).
[4] R. G. Halburd and R. J. Korhonen, “Nevanlinna theory for the difference operator,” Annales Academiae Scientiarum Fennicae Mathematica, vol. 31, pp. 463-478 (2006).
[5] R. G. Halburd and R. J. Korhonen, “Difference analogue of the lemma on the logarithmic derivative with applications to difference equations,” Journal of Mathematical Analysis and Applications, vol. 314, no. 2, pp. 477-487 (2006).
[6] J. Heittokangas, R. Korhonen, I. Laine, and J. Reippo, “Uniqueness of meromorphic functions sharing values with their shifts,” Complex Variables and Elliptic Functions, vol. 56, no. 1-4, pp. 81-92 (2011).
[7] X. M. Li and H. X. Yi, “Meromorphic functions sharing 4 values with their operators or shifts,” Bulletin of the Korean Mathematical Society, vol. 53, no. 4, pp. 1213-1235 (2016).
[8] R. S. Dhar, “Uniqueness theorems on meromorphic functions and their difference operators,” International Journal of Mathematical Analysis, vol. 7, no. 30, pp. 1489-1495 (2013).
[9] R. S. Dhar, “Zeros and value sharing results for q-shifts difference and differential polynomials,” International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. II, pp. 62-71 (2019).
[10] D. C. Pramanik and J. Roy, “Results on uniqueness of meromorphic functions weighted-sharing a set of roots of unity,” Journal of Interdisciplinary Mathematics, vol. 25, no. 1, pp. 45-62 (2022). [Online]. Available: https://doi.org/10.1080/09720502.2021.2010766.
[11] S. Li, “Uniqueness of entire functions sharing 2 values with their difference operators,” Advances in Difference Equations, vol. 390 (2017).
[12] F. Lu, Y. Wang, and J. Xu, “Entire functions sharing a small function with their two difference operators,” Advances in Difference Equations, vol. 216 (2017).
[13] I. Laine and C. C. Yang, “Clunie Theorems for difference and q-differential polynomials,” Journal of London Mathematical Society, vol. 76, no. 2, pp. 556-566 (2007).
[14] N. J. Yassin and K. Kassim, “Certain subclass of meromorphic univalent positive coefficients defined by q-difference operator,” Journal of Interdisciplinary Mathematics, vol. 26, no. 7, pp. 1517-1522 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1575.
