An extension of the Bernoulli polynomials inspired by the Tsallis statistics

M. Balamurugan, R. Chakrabarti, R. Jagannathan

In [Arch. Math. 7, 28 (1956), Utilitas Math. 15, 51 (1979)] Carlitz introduced the degenerate Bernoulli numbers and polynomials by replacing the exponential factors in the correspo…