Elliptic Hypergeometric Solutions to Elliptic Difference Equations
It is shown how to define difference equations on particular lattices {x_n}, n in Z, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations have remarkable simple interpolatory expansions. Only linear...
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Format: | Article |
Language: | English |
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National Academy of Science of Ukraine
2009-03-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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Online Access: | http://dx.doi.org/10.3842/SIGMA.2009.038 |