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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 038, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.038 (Mi sigma384) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Elliptic Hypergeometric Solutions to Elliptic Difference Equations

Alphonse P. Magnus

Université catholique de Louvain, Institut mathématique, 2 Chemin du Cyclotron, B-1348 Louvain-La-Neuve, Belgium
Full-text PDF (270 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2009.038
Abstract: It is shown how to define difference equations on particular lattices $\{x_n\}$, $n\in\mathbb Z$, 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.
Keywords: elliptic difference equations; elliptic hypergeometric expansions.
Received: December 1, 2008; in final form March 20, 2009; Published online March 27, 2009
Bibliographic databases:
Document Type: Article
MSC: 39A70; 41A20
Language: English
Citation: Alphonse P. Magnus, “Elliptic Hypergeometric Solutions to Elliptic Difference Equations”, SIGMA, 5 (2009), 038, 12 pp.
Citation in format AMSBIB
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\paper Elliptic Hypergeometric Solutions to Elliptic Difference Equations
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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