A note on the modified \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\)
Summary: A systemic study of some families of the modified \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\) is presented by using the \(p\)-adic \(q\)-integration on \(\mathbb Z_p\). The study of these numbers and polynomials yields an interesting \(q\)-analogue related to Bernoulli numbers and polynomials.
modified \(q\)-Bernoulli numbers with weight
modified \(q\)-Bernoulli polynomials with weight
scientific article; zbMATH DE number 5997807
scientific article