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Elliptic Hypergeometric Solutions to Elliptic Difference Equations

By Alphonse P. Magnus


It is shown how to define difference equations on particular lattices {xn}, n ∈ 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 difference equations of first order are considered here

Year: 2009
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