2 problems

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Haine–Iliev conjecture on rank-one bispectral difference algebras
A difference operator has support $[p,q]$ when it is written as … with $b_p(n),b_q(n)\not\equiv 0$ , and it is regular when the endpoint coefficients are nowhere vanishing on…
Conjectureopenbispectral-operators difference-operatorsarXiv posted 2 days ago
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Exhaustion conjecture for bispectral regular difference operators
A difference operator is a finite-order expression … acting on functions on $\mathbb Z$ , where $T$ is the shift operator, and it is regular when its first and last coefficients…
Conjectureopenbispectral-operators darboux-transformations difference-operatorsarXiv posted 2 days ago

Haine–Iliev conjecture on rank-one bispectral difference algebras