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Some results on differential-difference analogues of Brück conjecture

  • Xianjing Dong und Kai Liu EMAIL logo
Veröffentlicht/Copyright: 6. Juni 2017
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Mathematica Slovaca
Aus der Zeitschrift Mathematica Slovaca Band 67 Heft 3

Abstract

In this paper, we will consider value sharing problems on a transcendental entire function f with its differential-difference polynomials. We establish some results that can be viewed as the differential-difference analogues of Brück conjecture.

Keywords: value sharing; finite order; differential-difference polynomials
MSC 2010: Primary 30D35; Secondary 39A10

This work was partially supported by the NSFC (No. 11661052, 11301260), the NSF of Jiangxi (No. 20161BAB211005) and the YFED of Jiangxi (No. GJJ13078) of China. The second author also supported by China Scholarship Council (No. 201406825034).

(Communicated by Gregor Dolinar)

Acknowledgement

The authors would like to thank the referee for his/her helpful suggestions and comments.

References

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Received: 2015-1-23
Accepted: 2015-9-23
Published Online: 2017-6-6
Published in Print: 2017-6-27

© 2017 Mathematical Institute Slovak Academy of Sciences

Artikel in diesem Heft

  2. Some results in local Hilbert algebras
  4. A note on residuated po-groupoids and lattices with antitone involutions
  6. The first law of cubology for the Rubik’s Revenge
  8. Conditional associativity in orthomodular lattices
  10. A monotonicity property for generalized Fibonacci sequences
  12. Systems of conditionally independent sets
  14. On the k-th order lfsr sequence with public key cryptosystems
  16. On parametric spaces of bicentric quadrilaterals
  18. Character sums with an explicit evaluation
  20. Some remarks on formal power series and formal Laurent series
  22. The co-rank of the fundamental group: The direct product, the first Betti number, and the topology of foliations
  24. On prime and semiprime generalized hyperaction of hypermonoid
  26. On O’Malley ϱ-upper continuous functions
  28. Uniqueness theorems for finitely additive probabilities on quantum structures
  30. Some results on differential-difference analogues of Brück conjecture
  32. Oscillation of neutral second order half-linear differential equations without commutativity in deviating arguments
  34. On support, separation and decomposition theorems for t-Wright-concave functions
  36. A characterization of holomorphic bivariate functions of bounded index
  38. Asymptotic expansion of double Laplace-type integrals with a curve of minimal points and application to an exit time problem
  40. The geometry of two-valued subsets of Lp-spaces
  42. Hemi-slant submanifolds as warped products in a nearly Kaehler manifold
  44. A comparison of two tests in multivariate models
  46. Modelling prescription behaviour of general practitioners
  48. Characterization of congruence lattices of principal p-algebras
https://doi.org/10.1515/ms-2017-0002
Schlagwörter für diesen Artikel
value sharing; finite order; differential-difference polynomials

Artikel in diesem Heft

  2. Some results in local Hilbert algebras
  4. A note on residuated po-groupoids and lattices with antitone involutions
  6. The first law of cubology for the Rubik’s Revenge
  8. Conditional associativity in orthomodular lattices
  10. A monotonicity property for generalized Fibonacci sequences
  12. Systems of conditionally independent sets
  14. On the k-th order lfsr sequence with public key cryptosystems
  16. On parametric spaces of bicentric quadrilaterals
  18. Character sums with an explicit evaluation
  20. Some remarks on formal power series and formal Laurent series
  22. The co-rank of the fundamental group: The direct product, the first Betti number, and the topology of foliations
  24. On prime and semiprime generalized hyperaction of hypermonoid
  26. On O’Malley ϱ-upper continuous functions
  28. Uniqueness theorems for finitely additive probabilities on quantum structures
  30. Some results on differential-difference analogues of Brück conjecture
  32. Oscillation of neutral second order half-linear differential equations without commutativity in deviating arguments
  34. On support, separation and decomposition theorems for t-Wright-concave functions
  36. A characterization of holomorphic bivariate functions of bounded index
  38. Asymptotic expansion of double Laplace-type integrals with a curve of minimal points and application to an exit time problem
  40. The geometry of two-valued subsets of Lp-spaces
  42. Hemi-slant submanifolds as warped products in a nearly Kaehler manifold
  44. A comparison of two tests in multivariate models
  46. Modelling prescription behaviour of general practitioners
  48. Characterization of congruence lattices of principal p-algebras
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