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We derive series representations for the tau functions of the $q$-Painlev\'e V, $\mathrm{III_1}$, $\mathrm{III_2}$, and $\mathrm{III_3}$ equations, as degenerations of the tau functions of the $q$-Painlev\'e VI equation in [Jimbo M., Nagoya H., Sakai H., J.
Painlevé P., Sur les équations différentielles du second ordre et d’ordre supérieur dont l’intégrale générale est uniforme,
1902
Earlier work this paper cites.
Gambier B., Sur les équations différentielles du second ordre et du premier degré dont l’intégrale générale est a points critiques fixes,
1910
Earlier work this paper cites.
Ramani A., Grammaticos B., Hietarinta J., Discrete versions of the Painlevé equations,
1991
Earlier work this paper cites.
Jimbo M., Sakai H., A
1996
Earlier work this paper cites.
Bonelli G., Grassi A., Tanzini A., Quantum curves and
2001
Earlier work this paper cites.
Sakai H., Rational surfaces associated with affine root systems and geometry of the Painlevé equations,
2001
Earlier work this paper cites.
Tachikawa Y., Five-dimensional Chern–Simons terms and Nekrasov’s instanton counting,
2004
Earlier work this paper cites.
Sakai H., Problem: discrete Painlevé equations and their Lax forms, in Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painlevé Hierarchies,
2007
Earlier work this paper cites.
2009
Cited alongside, same era.
2010
Cited alongside, same era.
Awata H., Yamada Y., Five-dimensional AGT conjecture and the deformed Virasoro algebra,
2010
Cited alongside, same era.
Mano T., Asymptotic behaviour around a boundary point of the
2010
Cited alongside, same era.
Awata H., Feigin B., Shiraishi J., Quantum algebraic approach to refined topological vertex,
2012
Cited alongside, same era.
2015
Later among the works it cites.
Grammaticos B., Ramani A., Parameterless discrete Painlevé equations and their Miura relations,
2016
Later among the works it cites.
2017
Later among the works it cites.
Jimbo M., Nagoya H., Sakai H., CFT approach to the
2017
Later among the works it cites.
Kajiwara K., Noumi M., Yamada Y., Geometric aspects of Painlevé equations,
2017
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2012
Cited alongside, same era.
Gamayun O., Iorgov N., Lisovyy O., How instanton combinatorics solves Painlevé VI, V and IIIs,
2013
Cited alongside, same era.
Iorgov N., Lisovyy O., Teschner J., Isomonodromic tau-functions from Liouville conformal blocks,
2015
Cited alongside, same era.
Bershtein M.A., Shchechkin A.I.,
Cited in the paper.
Bershtein M.A., Shchechkin A.I., Painlevé equations from Nakajima–Yoshioka blow-up relations,
Cited in the paper.
Painlevé P., Mémoire sur les équations différentielles dont l’intégrale générale est uniforme,
Cited in the paper.
Yanagida S., Norm of the Whittaker vector of the deformed Virasoro algebra,
Cited in the paper.
Later among the works it cites.
Felder G., Müller-Lennert M., Analyticity of Nekrasov partition functions,
2018
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