A note on three variable symmetric identities for modified $q$-Bernoulli polynomials arising from bosonic $p$-adic integral on $ℤ_p$
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Abstract
Recently, Dolgy-Kim-Kim derived some identities of Carlitz's $q$-Bernoulli polynomials under symmetry group $S_{3}([5])$. In this paper, we investigate identities of symmetry for the modified Carlitz's $q$-Bernoulli polynomials which are different the symmetric identities of Dolgy-Kim-Kim for the Carlitz's $q$-Bernoulli polynomials.