Name
Title | ||
|---|---|---|
On p-Adic Fermionic Integrals of q-Bernstein Polynomials Associated with q-Euler Numbers and Polynomials †. |
Abstract | ||
|---|---|---|
We study a q-analogue of Euler numbers and polynomials naturally arising from the p-adic fermionic integrals on Z(p) and investigate some properties for these numbers and polynomials. Then we will consider p-adic fermionic integrals on Z(p) of the two variable q-Bernstein polynomials, recently introduced by Kim, and demonstrate that they can be written in terms of the q-analogues of Euler numbers. Further, from such p-adic integrals we will derive some identities for the q-analogues of Euler numbers. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.3390/sym10080311 | SYMMETRY-BASEL |
Keywords | Field | DocType |
two variable q-Berstein polynomial,two variable q-Berstein operator,q-Euler number,q-Euler polynomial | Combinatorics,Euler number,Polynomial,Pure mathematics,Bernstein polynomial,Mathematics | Journal |
Volume | Issue | ISSN |
10 | 8 | 2073-8994 |
Citations | PageRank | References |
1 | 0.48 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lee-Chae Jang | 1 | 77 | 17.18 |
| Taekyun Kim | 2 | 7 | 3.83 |
| Dae San Kim | 3 | 61 | 28.59 |
| D. V. Dolgy | 4 | 7 | 6.36 |