Uniqueness of Linear Differential Polynomial and Shift of a Meromorphic Function

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Authors

  • Department of Mathematics, Karnatak University, Dharwad - 580003, Karnataka ,IN
  • Department of Mathematics, Karnatak University, Dharwad - 580003, Karnataka ,IN

DOI:

https://doi.org/10.18311/jims/2024/31949

Keywords:

Meromorphic Function, Linear Differential Polynomial, Shift, Sharing Values, Uniqueness, Nevanlinna Theory.

Abstract

In this paper, we study the uniqueness problems of entire and meromorphic functions concerning their shift and linear differential polynomial.

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Published

2024-07-01

How to Cite

Dyavanal, R. S., & Channadasar , J. V. (2024). Uniqueness of Linear Differential Polynomial and Shift of a Meromorphic Function. The Journal of the Indian Mathematical Society, 91(3-4), 356–365. https://doi.org/10.18311/jims/2024/31949

 

References

Z. X. Chen, Complex Differences and Difference Equations, Science press-Beijing, 2014.

S. J. Chen, On uniqueness of meromorphic functions and their difference operator with partially shared values, Comput. Methods Funct. Theory, 18 (2018), 529 – 536.

R. S. Dyavanal, M. M. Mathai and A. M. Hattikal, Unique range set of a meromorphic function and its linear difference polynomial, J. Indian Math. Soc., 89 (2022), 44–57.

R. S. Dyavanal and J. B. Muttagi, Value Distribution and Uniqueness of Certain Higher Order q-Difference Polynomials, J. Indian Math. Soc., 88 (2021), 72—87.

R. S. Dyavanal, Applications of difference analogue of Cartan’s second main theorem for holomorphic curves, J. Anal., 28 (2020), 615–622.

R. S. Dyavanal, M. M. Mathai and A. M. Hattikal, Unicity theorems of a linear difference polynomial of entire and meromorphic functions, Indian J. Math., 61 (2019), 141–152.

R. S. Dyavanal and A. M. Hattikal, Uniqueness of difference-differential polynomials of entire functions sharing one value, Tamkang J. Math., 47 (2)(2016), 193–206.

R. S. Dyavanal and R. V. Desai, Uniqueness of q-shift difference and differential polynomials of entire functions, Far East J. Math. Sci., 91 (3)(2015), 189–202.

R. G. Halburd, R. J. Korhonen and K. Tohge, Holomorphic curves with shift-invariant hyperplane preimages, Trans. Amer. Math. Soc., 366 (2014), 4267–4298.

W. K. Hayman, Meromorphic function, Clarendon press-Oxford, 1964.

I. Laine, Nevanlinna theory and complex differential equations, Walter der Gruyter, Berlin-Newyork, 1993.

C. Shengjiang and X. Aizhu, Uniqueness of Derivatives and Shifts of Meromorphic Functions, Comput. Methods Funct. Theory, 22 (2022), 197–205.

H. Xiaohuang and F. Mingliang, Unicity of entire functions concerning their shift and derivatives, comput. Methods Funct. Theory, 21 (2021), 523–532.

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, Springer, Berlin, 1993.