A common generalization of all known duality relations for hypergeometric and basic hypergeometric series is derived, with corollaries for multi-term identities at fixed argument.
Information geometry, Jordan algebras, and a coadjoint orbit-like construction
2 Pith papers cite this work. Polarity classification is still indexing.
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Develops a bi-form framework unifying contrast and pre-contrast functions on torsion-full Lauritzen manifolds and constructs a canonical contrast bi-form on dually curvature-free cases.
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General duality relations for hypergeometric and basic hypergeometric series
A common generalization of all known duality relations for hypergeometric and basic hypergeometric series is derived, with corollaries for multi-term identities at fixed argument.
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Potential functions in information geometry via bi-forms
Develops a bi-form framework unifying contrast and pre-contrast functions on torsion-full Lauritzen manifolds and constructs a canonical contrast bi-form on dually curvature-free cases.