3 problems

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Spectral-sign conjecture for the Fraser-Sargent Sturm–Liouville problem
Let $\lambda_i(m)$ be the $i$ -th eigenvalue of the Sturm–Liouville problem associated with the orientable cover $\widetilde{IFS}_{k,l}$ , where $k$ and $l$ are relatively prime inte…
Conjectureopenindex-theory minimal-surfaces sturm-liouville-theoryarXiv posted 2 days ago
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Conjecture on qualitative spectral behaviour for generalized second PdHA problems
Let $q(\widehat{z})=c/(a\widehat{z}+b)^n$ with $a,b,c>0$ and $n\in\mathbb{N}$ define the invariant function in the generalized second Paine--de Hoog--Anderssen Sturm--Liouville bou…
Conjectureopenboundary-value-problems spectral-theory sturm-liouville-theoryarXiv posted 2 days ago
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Conjecture on recurrence relations for exceptional orthogonal polynomials
Recurrence conjecture. All exceptional orthogonal polynomials satisfy a recurrence relation of the type
Conjectureopenorthogonal-polynomials special-functions sturm-liouville-theoryarXiv posted 2 days ago

Spectral-sign conjecture for the Fraser-Sargent Sturm–Liouville problem