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In this section we study the Legendre equation (1.1) on the whole real line R and note that, in addition to its singular points at −∞ and +∞, it also has singularities at the

We also introduce Toda-type systems with boundary through the three-leg form of integrable equations on quad-graphs and we recover the previous approach to boundary conditions

This article does not really contain any new results, and it is mostly a re- interpretation of formulas of Cherbonnier-Colmez (for the dual exponential map), and of Benois and

— Infinitely near singular points, characteristic exponents, Differentiation The- orem, Numerical Exponent Theorem, Ambient Reduction Theorem.. The author was supported by the

Theorem 5.1 Let G be a connected regular graph with four distinct eigenvalues. Then G is one of the relations of a 3-class association scheme if and only if any two adjacent

Using the fact that the flat antichain theorem holds for antichains on three consecutive levels, together with an unpublished result by the author and A.. Woods showing that the

A entirely new and independent enumeration of the crystallographic space groups is given, based on obtaining the groups as fibrations over the plane crystallographic groups, when

We extend the classical Gauss–Bonnet theorem for the Euclidean, elliptic, hyperbolic, and Lorentzian planes to the other three Cayley–Klein geometries of dimension two, all three