Degenerate Poly-Type 2-Bernoulli Polynomials
Abstract
Keywords
Bernoulli numbers and polynomials, Type 2-Bernoulli numbers and polynomials, Polylogarithm, Generating function, Degenerate
References
- [1] Bayad, A., Hamahata, Y.: Polylogarithms and poly-Bernoulli polynomials. Kyushu J. Math. 65, 15-24 (2012).
- [2] Carlitz, L.: Degenerate Stirling, Bernoulli and Eulerian numbers. Utilitas Math. 15, 51-88 (1979).
- [3] Chung, S.-K., Jang, G.-W., Kim, D.S., Kwon, J.: Some identities of the type 2 degenerate Bernoulli and Euler numbers. Adv. Stud. Contemp. Math. (Kyungshang). 29 (4), 613-632 (2019).
- [4] Duran, U., Acikgoz, M., Araci, S.: Hermite based poly-Bernoulli polynomials with a q parameter, Adv. Stud. Contemp. Math. (Kyungshang). 28 (2), 285-296 (2018).
- [5] Kaneko, M.: poly-Bernoulli numbers. J. Theor. Nombres Bordx. 9, 221-228 (1997).
- [6] Kumar Sharma, S., Khan,W.A., Araci, S., Ahmed, S.S.: New type of degenerate Daehee polynomials of the second kind. Adv. Differ. Equ. 428 (2020).
- [7] Sharma, S.K., Khan, W.A., Araci, S., Ahmed, S.S.: New construction of type 2 degenerate central Fubini polynomials with their certain properties. Adv. Differ. Equ. 587 (2020).
- [8] Kilar, N., Simsek, Y.: Relations on Bernoulli and Euler polynomials related to trigonometric functions. Adv. Stud. Contemp. Math. (Kyungshang). 29 (2), 191-198 (2019).
- [9] Kim, T., Kim, D.S., Kwon, J., Lee, H.: Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials. Adv. Differ. Equ. 168 (2020).
- [10] Kim, T., Jang, Y.S; Seo, J.J: A note on Poly-Genocchi numbers and polynomials. Appl. Math. Sci. 8 (96), 4775-4781 (2014).