The number of discrete Painlevé equations is infinite
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Publication:665272
DOI10.1016/j.physleta.2009.06.034zbMath1233.34038OpenAlexW2022584943MaRDI QIDQ665272
Alfred Ramani, Basile Grammaticos
Publication date: 5 March 2012
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2009.06.034
Weyl theory and its generalizations for ordinary differential equations (34B20) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)
Related Items (7)
On a novel representation of discrete Painlevé equations ⋮ Geometric aspects of Painlevé equations ⋮ On the limits of discrete Painlevé equations associated with the affine Weyl group E8 ⋮ Miura transformations for discrete Painlevé equations coming from the affine E8 Weyl group ⋮ Full-parameter discrete Painlevé systems from non-translational Cremona isometries ⋮ Strongly asymmetric discrete Painlevé equations: The additive case ⋮ Restoring discrete Painlevé equations from an E8(1)-associated one
Cites Work
- Self-duality and Schlesinger chains for the asymmetric \(\text{d-P}_{\text{II}}\) and \(\text{q-P}_{\text{III}}\) equations
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- Discrete Painlevé equations: coalescences, limits and degeneracies
- Generating discrete Painlevé equations from affine Weyl groups
- From continuous Painlevé IV to the asymmetric discrete Painlevé I
- Elliptic discrete Painlev equations
- Discrete versions of the Painlevé equations
- A study on the fourthq-Painlevé equation
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