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Some Properties on Complex Functional Difference Equations

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  • Zhi-Bo Huang
  • Ran-Ran Zhang

Abstract

We obtain some results on the transcendental meromorphic solutions of complex functional difference equations of the form   , where is a finite set of multi-indexes , are distinct complex constants, is a polynomial, and , , and are small meromorphic functions relative to . We further investigate the above functional difference equation which has special type if its solution has Borel exceptional zero and pole.

Suggested Citation

  • Zhi-Bo Huang & Ran-Ran Zhang, 2014. "Some Properties on Complex Functional Difference Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, April.
    • Handle: RePEc:hin:jnlaaa:283895
    DOI: 10.1155/2014/283895
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