Note on Type 2 Degenerate q-Bernoulli Polynomials
AbstractThe purpose of this paper is to introduce and study type 2 degenerate q-Bernoulli polynomials and numbers by virtue of the bosonic p-adic q-integrals. The obtained results are, among other things, several expressions for those polynomials, identities involving those numbers, identities regarding Carlitz’s q-Bernoulli numbers, identities concerning degenerate q-Bernoulli numbers, and the representations of the fully degenerate type 2 Bernoulli numbers in terms of moments of certain random variables, created from random variables with Laplace distributions. It is expected that, as was done in the case of type 2 degenerate Bernoulli polynomials and numbers, we will be able to find some identities of symmetry for those polynomials and numbers. View Full-Text
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Kim, D.S.; Dolgy, D.V.; Kwon, J.; Kim, T. Note on Type 2 Degenerate q-Bernoulli Polynomials. Symmetry 2019, 11, 914.
Kim DS, Dolgy DV, Kwon J, Kim T. Note on Type 2 Degenerate q-Bernoulli Polynomials. Symmetry. 2019; 11(7):914.Chicago/Turabian Style
Kim, Dae S.; Dolgy, Dmitry V.; Kwon, Jongkyum; Kim, Taekyun. 2019. "Note on Type 2 Degenerate q-Bernoulli Polynomials." Symmetry 11, no. 7: 914.
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