Meromorphic Solutions of Some Complex Difference Equations
The main purpose of this paper is to present the properties of the meromorphic solutions of complex difference equations of the form ∑{J}αJ(z)(∏j∈Jf(z+cj))=R(z,f(z)), where {J} is a collection of all subsets of {1,2,…,n}, cj  ...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2009/982681 |
| Summary: | The main purpose of this paper is to present the properties of the meromorphic solutions of complex difference equations of the form ∑{J}αJ(z)(∏j∈Jf(z+cj))=R(z,f(z)), where {J} is a collection of all subsets of {1,2,…,n}, cj  (j∈J) are distinct, nonzero complex numbers, f(z) is a transcendental meromorphic function, αJ(z)'s are small functions relative to f(z), and R(z,f(z)) is a rational function in f(z) with coefficients which are small functions relative to f(z). |
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| ISSN: | 1687-1839 1687-1847 |