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 |
| _version_ | 1818230785977614336 |
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| author | Alphonse P. Magnus |
| author_facet | Alphonse P. Magnus |
| author_sort | Alphonse P. Magnus |
| collection | DOAJ |
| description | 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 difference equations of first order are considered here. |
| first_indexed | 2024-12-12T10:40:01Z |
| format | Article |
| id | doaj.art-fe38917d46dc41ad8989fc7541edaca5 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-12T10:40:01Z |
| publishDate | 2009-03-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-fe38917d46dc41ad8989fc7541edaca52022-12-22T00:27:06ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592009-03-015038Elliptic Hypergeometric Solutions to Elliptic Difference EquationsAlphonse P. MagnusIt 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 difference equations of first order are considered here.http://dx.doi.org/10.3842/SIGMA.2009.038elliptic difference equationselliptic hypergeometric expansions |
| spellingShingle | Alphonse P. Magnus Elliptic Hypergeometric Solutions to Elliptic Difference Equations Symmetry, Integrability and Geometry: Methods and Applications elliptic difference equations elliptic hypergeometric expansions |
| title | Elliptic Hypergeometric Solutions to Elliptic Difference Equations |
| title_full | Elliptic Hypergeometric Solutions to Elliptic Difference Equations |
| title_fullStr | Elliptic Hypergeometric Solutions to Elliptic Difference Equations |
| title_full_unstemmed | Elliptic Hypergeometric Solutions to Elliptic Difference Equations |
| title_short | Elliptic Hypergeometric Solutions to Elliptic Difference Equations |
| title_sort | elliptic hypergeometric solutions to elliptic difference equations |
| topic | elliptic difference equations elliptic hypergeometric expansions |
| url | http://dx.doi.org/10.3842/SIGMA.2009.038 |
| work_keys_str_mv | AT alphonsepmagnus elliptichypergeometricsolutionstoellipticdifferenceequations |