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On a conjecture of Y. H. Cao and X. B. Zhang

  • Sujoy Majumder EMAIL logo
Published/Copyright: February 28, 2017
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 67 Issue 1

Abstract

In this paper we investigate the possible relation between two meromorphic functions fn f(k) and gn g(k) that share a nonzero polynomial and obtain two results which are related to a conjecture of X. Y. Cao and B. X. Zhang [Uniqueness of meromorphic functions sharing two values, J. Ineq. Appl., 1(100) (2012)]

MSC 2010: Primary 30D35
Keywords: uniqueness; meromorphic function; fixed point; nonlinear differential polynomials
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(Communicated by Stanislawa Kanas)

Acknowledgement

The author is grateful to the referee for his/her valuable comments and suggestions to-wards the improvement of the paper.

References

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Received: 2014-03-25
Accepted: 2014-12-08
Published Online: 2017-02-28
Published in Print: 2017-03-01

© 2017 Mathematical Institute Slovak Academy of Sciences

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  5. Sequences of cantor type and their expressibility
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  8. Closed hereditary coreflective subcategories in epireflective subcategories of Top
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  20. A note on derived connections from semi-symmetric metric connections
  21. Lindelöf P-spaces need not be Sokolov
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https://doi.org/10.1515/ms-2016-0254
Keywords for this article
uniqueness; meromorphic function; fixed point; nonlinear differential polynomials

Articles in the same Issue

  1. State hoops
  2. On derivations of partially ordered sets
  3. Interior and closure operators on commutative basic algebras
  4. When is the cayley graph of a semigroup isomorphic to the cayley graph of a group
  5. Sequences of cantor type and their expressibility
  6. δ-Fibonacci and δ-lucas numbers, δ-fibonacci and δ-lucas polynomials
  7. Law of inertia for the factorization of cubic polynomials – the case of primes 2 and 3
  8. Closed hereditary coreflective subcategories in epireflective subcategories of Top
  9. Method of upper and lower solutions for coupled system of nonlinear fractional integro-differential equations with advanced arguments
  10. Difference of two strong Światkowski lower semicontinuous functions
  11. Fejér-type inequalities (II)
  12. Representation of maxitive measures: An overview
  13. On a conjecture of Y. H. Cao and X. B. Zhang
  14. On the generalized orthogonal stability of the pexiderized quadratic functional equations in modular spaces
  15. Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups
  16. Homological properties of banach modules over abstract segal algebras
  17. Variable Hajłasz-Sobolev spaces on compact metric spaces
  18. Commuting pairs of self-adjoint elements in C*-algebras
  19. Additivity of maps preserving products AP ± PA* on C*-algebras
  20. A note on derived connections from semi-symmetric metric connections
  21. Lindelöf P-spaces need not be Sokolov
  22. Strong convergence properties for arrays of rowwise negatively orthant dependent random variables
  23. Least absolute deviations problem for the Michaelis-Menten function
  24. Congruence pairs of principal p-algebras
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