Research Article

Degenerate Poly-Type 2-Bernoulli Polynomials

Volume: 9 Number: 1 March 1, 2021
EN

Degenerate Poly-Type 2-Bernoulli Polynomials

Abstract

Recently, Kim-Kim [10] have studied type 2-Changhee and Daehee polynomials. They have also introduced the type 2-Bernoulli polynomials in order to express the central factorial numbers of the second kind by making use of type 2-Bernoulli numbers of negative integral orders. Inspired by their work, we consider a new class of generating functions of type 2-Bernoulli polynomials. We give some identities for these polynomials including type 2-Euler polynomials and Stirling numbers of the second kind.

Keywords

Bernoulli numbers and polynomials, Type 2-Bernoulli numbers and polynomials, Polylogarithm, Generating function, Degenerate

References

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APA
Araci, S. (2021). Degenerate Poly-Type 2-Bernoulli Polynomials. Mathematical Sciences and Applications E-Notes, 9(1), 1-8. https://doi.org/10.36753/mathenot.839111
AMA
1.Araci S. Degenerate Poly-Type 2-Bernoulli Polynomials. Math. Sci. Appl. E-Notes. 2021;9(1):1-8. doi:10.36753/mathenot.839111
Chicago
Araci, Serkan. 2021. “Degenerate Poly-Type 2-Bernoulli Polynomials”. Mathematical Sciences and Applications E-Notes 9 (1): 1-8. https://doi.org/10.36753/mathenot.839111.
EndNote
Araci S (March 1, 2021) Degenerate Poly-Type 2-Bernoulli Polynomials. Mathematical Sciences and Applications E-Notes 9 1 1–8.
IEEE
[1]S. Araci, “Degenerate Poly-Type 2-Bernoulli Polynomials”, Math. Sci. Appl. E-Notes, vol. 9, no. 1, pp. 1–8, Mar. 2021, doi: 10.36753/mathenot.839111.
ISNAD
Araci, Serkan. “Degenerate Poly-Type 2-Bernoulli Polynomials”. Mathematical Sciences and Applications E-Notes 9/1 (March 1, 2021): 1-8. https://doi.org/10.36753/mathenot.839111.
JAMA
1.Araci S. Degenerate Poly-Type 2-Bernoulli Polynomials. Math. Sci. Appl. E-Notes. 2021;9:1–8.
MLA
Araci, Serkan. “Degenerate Poly-Type 2-Bernoulli Polynomials”. Mathematical Sciences and Applications E-Notes, vol. 9, no. 1, Mar. 2021, pp. 1-8, doi:10.36753/mathenot.839111.
Vancouver
1.Serkan Araci. Degenerate Poly-Type 2-Bernoulli Polynomials. Math. Sci. Appl. E-Notes. 2021 Mar. 1;9(1):1-8. doi:10.36753/mathenot.839111