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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

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Isodiametric Inequality

Regarding the question of the worst case: Jung's Theorem states that every set of diameter $d$ in $n$-dimensional Euclidean space is contained in a ball of radius $\le d \sqrt{\frac{n}{2n+2}}$, and t …
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