DOI QR코드

DOI QR Code

STUDY OF ENTIRE AND MEROMORPHIC FUNCTION FOR LINEAR DIFFERENCE-DIFFERENTIAL POLYNOMIALS

  • S. RAJESHWARI (Department of Mathematics, Bangalore Institute of Technolgy) ;
  • P. NAGASWARA (Department of Mathematics, The Regency College of Education, Bangalore City University, N+ PU College)
  • 투고 : 2022.05.10
  • 심사 : 2023.09.13
  • 발행 : 2023.11.30

초록

We investigate the value distribution of difference-differential polynomials of entire and meromorphic functions, which can be gazed as the Hayman's Conjecture. And also we study the uniqueness and existence for sharing common value of difference-differential polynomials.

키워드

참고문헌

  1. Y.M. Chiang, S.J. Feng, On the Nevanlinna characteristic of f(z + h) and difference equations in the complex plane, Ramanujan journal 16 (2008), 105-129. https://doi.org/10.1007/s11139-007-9101-1
  2. R.G. Halburd, R.J. Korhonen, Nevanlinna Theory for the Difference Operator, Annales Academiae Scientiarum Fennicae Mathematica 31 (2006), 463- 478.
  3. R.G. Halburd, R.J. Korhonen, Difference Analogue of the lemma on the logarithmic derivative with applications to difference equations, J. Math. Anal. Appl. 314 (2006), 477-487. https://doi.org/10.1016/j.jmaa.2005.04.010
  4. W.K. Hayman, Meromorphic functions, Clarenden Press, Oxford, 1964.
  5. I. Laine, C.C. Yang, Value distribution and uniqueness of difference polynomials, - Proc. Japan Acad. Ser. A 83 (2007), 148-151.
  6. K. Liu, X. Liu, T.B. Cao, Value distribution of the difference operator, Advances in Difference equations 2011 (2011), Art ID 234215,12
  7. X.G. Qi, L.Z. Yang, K. Liu, Uniqueness and periodicity of meromorphic functions concerning the difference operator, Computer and Mathematics with Applications 60 (2010), 1739-1746. https://doi.org/10.1016/j.camwa.2010.07.004
  8. C.C. Yang, X.H. Hua, Uniqueness and value sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math. 22 (1997), 395-406.
  9. C.C. Yang, H.X. Yi, Uniqueness theory of meromorphic functions, Kluver Academic Press, Dordrecht, 2003.
  10. Zoubir Dahmani Mohamed Amin Abdelaoui, A unit disc study for (p, q) order meromorphic solutions of complex differential equations, Journal of Interdisciplinary Mathematics 21 (2018), 595-609. DOI:10.1080/09720502.2017.1390849
  11. Raj Shree Dhar., On Differential-Difference Polynomials, International Journal of Contemporary Mathematical Sciences 11 (2016), 517-531. https://doi.org/10.12988/ijcms.2016.61064
  12. Renukadevi S. Dyavanal, Rajalaxmi V. Desai, Uniqueness of Difference Polynomials of Entire Functions, Applied Mathematical Sciences 69 (2014), 3419-3424. https://doi.org/10.12988/ams.2014.44260
  13. Xiaoguang Qi, Jia Dou Lianzhong Yang, Uniqueness and value distribution for difference operators of meromorphic function, Advances in Difference Equations 1 (2012), 1687-1847.
  14. P. Nagaswara, S. Rajeshwari, Complex Delay-Differential Equations of Malmquist Type, Journal of Applied Mathematics and Informatics 40 (2022), 507-513. https://doi.org/10.14317/JAMI.2022.507
  15. P. Nagaswara, S. Rajeshwari, Uniqueness problem on f sharing two values with its nth order differences Δnf, Telematique, 21 (2022), 777-782.