monodromy
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7 matching pages
1: 15.17 Mathematical Applications
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§15.17(v) Monodromy Groups
… ►By considering, as a group, all analytic transformations of a basis of solutions under analytic continuation around all paths on the Riemann sheet, we obtain the monodromy group. These monodromy groups are finite iff the solutions of Riemann’s differential equation are all algebraic. …2: 16.23 Mathematical Applications
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►These equations are frequently solvable in terms of generalized hypergeometric functions, and the monodromy of generalized hypergeometric functions plays an important role in describing properties of the solutions.
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3: 31.16 Mathematical Applications
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§31.16(i) Uniformization Problem for Heun’s Equation
… ►It describes the monodromy group of Heun’s equation for specific values of the accessory parameter. …4: Bibliography J
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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II.
Phys. D 2 (3), pp. 407–448.
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5: Bibliography F
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Monodromy- and spectrum-preserving deformations. I.
Comm. Math. Phys. 76 (1), pp. 65–116.
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6: Bibliography D
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Monodromy of certain Painlevé-VI transcendents and reflection groups.
Invent. Math. 141 (1), pp. 55–147.
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7: Bibliography
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Singularities of Differentiable Maps. Vol. II.
Birkhäuser, Boston-Berlin.
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