Quadratic orthogonal pairs resolve the mismatch problem for Hankel determinants on hyperelliptic curves and supply closed-form solutions for bilateral Somos-4 and Somos-5 recurrences.
Hankel continued fraction and its applications.Adv
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q-metallic numbers have Taylor coefficient sequences characterized by recurrences or differential equations, with closed forms for n=1,2,3, asymptotics, modular identities, and a signed connection to RNA secondary structures.
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Hankel Determinants from Quadratic Orthogonal Pairs for Hyperelliptic Functions and Their Applications
Quadratic orthogonal pairs resolve the mismatch problem for Hankel determinants on hyperelliptic curves and supply closed-form solutions for bilateral Somos-4 and Somos-5 recurrences.
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Analytical properties of $q$-metallic numbers
q-metallic numbers have Taylor coefficient sequences characterized by recurrences or differential equations, with closed forms for n=1,2,3, asymptotics, modular identities, and a signed connection to RNA secondary structures.