Value Distribution and Uniqueness of Certain Higher Order q-difference Polynomials

Jump To References Section

Authors

  • Department of Mathematics, Karnatak University, Dharwad ,IN
  • Department of Mathematics, Karnatak University, Dharwad ,IN

DOI:

https://doi.org/10.18311/jims/2021/26055

Keywords:

Nevanlinna theory, q-difference polynomial

Abstract

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.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Published

2021-01-28

How to Cite

Dyavanal, R. S., & Muttagi, J. B. (2021). Value Distribution and Uniqueness of Certain Higher Order q-difference Polynomials. The Journal of the Indian Mathematical Society, 88(1-2), 72–87. https://doi.org/10.18311/jims/2021/26055
Received 2020-09-14
Accepted 2020-09-16
Published 2021-01-28

 

References

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.