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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Bibliographic Details
Main Author: Alphonse P. Magnus
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.038