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Connection Formulae for a Generalised Ramanujan Entire Function

Holroyd, Joshua
arXiv (All) · Papers
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classical-analysis-and-odes
The Ramanujan$-$$q$-Airy connection formula relates the convergent series at the origin to the behaviour at infinity of the Ramanujan entire function. We extend this connection to a one-parameter deformation, which embeds the Ramanujan (second-order) $q$-difference operator in a family of third-orde
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