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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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A Lagrangian problem with a countable family of local extrema ?

(I couldn't find how to post this as a comment instead of an answer, anyone willing to move my text accordingly is very welcome). The function $f$ represents the boundary of a domain, as explained ab …
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