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math.NT2024
Leading coefficient in the Hankel determinants related to binomial and -binomial transforms
Shane Chern, Lin Jiu, Shuhan Li +1
It is a standard result that the Hankel determinants for a sequence stay invariant after performing the binomial transform on this sequence. In this work, we extend the scenario to…
math.NT2023
Hankel determinants and Jacobi continued fractions for -Euler numbers
Shane Chern, Lin Jiu
The -analogs of Bernoulli and Euler numbers were introduced by Carlitz. Similar to the recent results on the Hankel determinants for the -Bernoulli numbers established by Cha…