A note on the \((h,q)\)-extension of Bernoulli numbers and Bernoulli polynomials (Q1958783)

The \((h,q)\)-extended Bernoulli polynomials are defined by the generating series \[ \frac{h\log q+t}{q^he^t-1}e^{xt}=\sum_{n=0}^\infty B_{n,q}^{(h)}(x)\frac{t^n}{n!}. \] The authors present tables and figures with the zeros of the polynomials \(B_{n,q}^{(h)}(x)\) for several values of \(h,q,n\).