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Riordan Pseudo-Involutions, Continued Fractions and Somos $4$ Sequences. (arXiv:1807.05794v1 [math.CO])

来源于:arXiv
We define a three parameter family of Bell pseudo-involutions in the Riordan group. The defining sequences have generating functions that are expressible as continued fractions. We exhibit Hankel transforms associated with these sequences, and to the $A$-sequences of the Riordan arrays, that give rise to Somos $4$ sequences. We give examples where these sequences can be associated with elliptic curves, and we exhibit instances where elliptic curves can give rise to associated Riordan pseudo-involutions. 查看全文>>