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11—20 of 23 matching pages
11: 10.2 Definitions
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►This differential equation has a regular singularity at with indices , and an irregular singularity at of rank
; compare §§2.7(i) and 2.7(ii).
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12: 23.20 Mathematical Applications
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always has the form (Mordell’s Theorem: Silverman and Tate (1992, Chapter 3, §5)); the determination of , the rank of , raises questions of great difficulty, many of which are still open.
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13: DLMF Project News
error generating summary14: Bibliography
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Transformations of the ranks
and algebraic solutions of the sixth Painlevé equation.
Comm. Math. Phys. 228 (1), pp. 151–176.
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15: Bibliography D
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Error bounds for exponentially improved asymptotic solutions of ordinary differential equations having irregular singularities of rank one.
Methods Appl. Anal. 3 (1), pp. 109–134.
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16: Bibliography G
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Fourier transforms related to a root system of rank 1.
Transform. Groups 12 (1), pp. 77–116.
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17: Bibliography K
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The relationship between Zhedanov’s algebra and the double affine Hecke algebra in the rank one case.
SIGMA 3, pp. Paper 063, 15 pp..
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18: 33.2 Definitions and Basic Properties
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►This differential equation has a regular singularity at with indices and , and an irregular singularity of rank 1 at (§§2.7(i), 2.7(ii)).
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19: 33.14 Definitions and Basic Properties
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►Again, there is a regular singularity at with indices and , and an irregular singularity of rank 1 at .
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