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Title of Journal: Acta Math SinEnglish Ser

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Abbravation: Acta Mathematica Sinica, English Series

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Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

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DOI

10.1016/0378-2166(91)90079-D

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1439-7617

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Exponential polynomials as solutions of certain no

Authors: Zhi Tao Wen Janne Heittokangas Ilpo Lain
Publish Date: 2012/01/19
Volume: 28, Issue: 7, Pages: 1295-1306
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Abstract

Recently CC Yang and I Laine have investigated finite order entire solutions f of nonlinear differentialdifference equations of the form f n + Lz f = h where n ≥ 2 is an integer In particular it is known that the equation fz2 +qzfz +1 = pz where pzqz are polynomials has no transcendental entire solutions of finite order Assuming that Qz is also a polynomial and c ∈ ℂ equations of the form fz n +qzeQz fz +c = pz do posses finite order entire solutions A classification of these solutions in terms of growth and zero distribution will be given In particular it is shown that any exponential polynomial solution must reduce to a rather specific form This reasoning relies on an earlier paper due to N Steinmetz


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Other Papers In This Journal:

  1. The bipolar quantum drift-diffusion model
  2. Free completely J ( ℓ ) -simple Semigroups
  3. An implicit degree ore-condition for pancyclicity of graphs
  4. A variation of a conjecture due to Erdös and Sós
  5. P-distances, q-distances and a generalized Ekeland’s variational principle in uniform spaces
  6. An oscillating operator related to wave equations in the block spaces
  7. Existence results for impulsive neutral stochastic evolution inclusions in Hilbert space
  8. f -Colorings of some graphs of f -class 1
  9. On the Finite Convergence of Newton-type Methods for P 0 Affine Variational Inequalities
  10. Maximal integral over observable measures
  11. The semiclassical limit in the quantum drift-diffusion model
  12. Sharp estimates of p -adic hardy and Hardy-Littlewood-Pólya operators
  13. A class of normal weighted composition operators on the Fock space of ℂ n
  14. Lipschitz algebras and peripherally-multiplicative maps
  15. Isometric immersions into warped product spaces
  16. Orthogonality and quintic functional equations
  17. Global well-posedness for gKdV-3 in Sobolev spaces of negative index
  18. Self-dual weak Hopf algebras
  19. Spacelike hypersurfaces of prescribed Gauss-Kronecker curvature in exterior domains
  20. Behavioral portfolio selection with loss control
  21. Ergodicity of Quasi-birth and Death Processes (I)
  22. The global attractor of a non-local PDE model with delay for population dynamics in ℝ n
  23. Immersed Hypersurfaces in the Unit Sphere S m +1 with Constant Blaschke Eigenvalues
  24. Liouville type theorems for a system of integral equations on upper half space
  25. Resolvability in circulant graphs
  26. Integrated Groups and Smooth Distribution Groups
  27. A note on lower bound of centered L 2 -discrepancy on combined designs
  28. Essential norms of weighted composition operators from weighted Bergman space to mixed-norm space on the unit ball
  29. Strong labelings of linear forests
  30. On an entropy of ℤ + k -actions
  31. On universally left-stability of ɛ -isometry

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