Open Access
Subscription Access
Open Access
Subscription Access
Value Distribution and Uniqueness of Certain Higher Order q-difference Polynomials
Subscribe/Renew Journal
In this paper, by using Nevanlinna theory we investigate cer- tain types of higher order q-di erence polynomials and prove the results on value distribution and uniqueness.
Keywords
Nevanlinna theory, q-difference polynomial
Subscription
Login to verify subscription
User
Font Size
Information
- D. C. Barnett, R. G. Halburd, R. J. Korhonen and W. Morgan, Nevanlinna theory for the q-dierence operator and meromorphic solutions of q-dierence equations, J. Proc. Royal Society Edinburgh, 137(A)(2007), 457-474.
- Z. X. Chen, On value distribution of dierence polynomials of meromorphic functions, Abstr. Appl. Anal., 2011(2)(2011), 1826-1834.
- Y. Du, Z. Gao, M. Chen and M. Zhao, Value distribution and uniqueness of certain types of q-dierence polynomials, J. Computational Analysis and Applications, 26(3)(2019), 438-448.
- R. S. Dyavanal and A. M. Hattikal, On the uniqueness of product of dierence polynomials of meromorphic functions, Konuralp J. Math., 4(2)(2016), 42-55.
- R. S. Dyavanal and M. M. Mathai, Uniqueness of dierence-dierential polynomials of meromorphic functions, Ukrains'kyi Matematychnyi Zhurnal, 71(7)(2019), 906-914.
- R. S. Dyavanal and J. B. Muttagi, Value distribution of higher order dierentialdierence polynomial of an entire function, New Trends Math. Sci., 7(1)(2019), 48-56.
- R. S. Dyavanal and M. M. Mathai, Value distribution of general dierential-dierence polynomials of meromorphic functions, J. Anal., (2018), 1-12.
- R. S. Dyavanal, M. M. Mathai and A. M. Hattikal, Unicity theorems of a linear dierence polynomial of entire and meromorphic functions, Indian J. Math., 61(1)(2019), 141-152.
- M. L. Fang and H. L. Qiu, Meromorphic functions that share xed-points, J. Math. Anal. Appl., 268(2000), 426-439.
- W. K. Hayman, Meromorphic functions, Clarendon Press, Oxford, 1964.
- I. Laine and C. C. Yang, Value distribution of dierence polynomials, J. Proc. Japan Acad Ser A Math Sci., 83(2007), 148-151.
- K. Liu and I. Laine, A note on value distribution of dierence polynomials, Bulletin Australian Math. Soc., 81(3)(2010), 353-360.
- C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, Dordrecht 2003, Chinese Original Science Press, Beijing, 1995.
- L. Yang, Value distribution theory and its new research, Beijing, Science Press, 1982.
- J. L. Zhang and R. J. Korhonen, On the Nevanlinna characteristic of f(qz) and with its applications, J. Math. Anal. Appl., 369(2010), 537-544.
Abstract Views: 281
PDF Views: 0