2 citations · 2 across the 6 of their papers we have counts for
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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…
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…
Hankel Determinants of shifted sequences of Bernoulli and Euler numbers
Karl Dilcher, Lin Jiu
Hankel determinants of sequences related to Bernoulli and Euler numbers have been studied before, and numerous identities are known. However, when a sequence is shifted by one unit…
Orthogonal polynomials and Hankel Determinants for certain Bernoulli and Euler Polynomials
Karl Dilcher, Lin Jiu
Using continued fraction expansions of certain polygamma functions as a main tool, we find orthogonal polynomials with respect to the odd-index Bernoulli polynomials …
On b-ary binomial coefficients with negative entries
Lin Jiu, Diane Y. H. Shi
Abstract. We generalize the -ary binomial coefficients with negative entries, which is based on the generating function obtained in early work. Besides an explicit expression in…