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Some identities on the twisted q-Bernoulli numbers and polynomials with weight α

Some identities on the twisted q-Bernoulli numbers and polynomials with weight α

In this paper, we consider the twisted q-Bernoulli numbers and polynomials with weight α by using the bosonic q-integral on . From the construction of the twisted q-Bernoulli numbers with weight α, we derive some identities and relations. MSC: 11B68, 11S40, 11S80.