Name
Abstract | ||
|---|---|---|
The study on degenerate versions of some special numbers and polynomials, which began with Carlitz's pioneering work, has regained recent interests of some mathematicians. Motivated by this, we introduce degenerate Hermite polynomials as a degenerate version of the ordinary Hermite polynomials. Recently, introduced was lambda-umbral calculus where the usual exponential function appearing in the generating function of Sheffer sequence is replaced by the degenerate exponential function. Then, among other things, by using the formula of the lambda-umbral calculus about expressing one lambda-Sheffer polynomial in terms of another lambda-Sheffer polynomials we represent the degenerate Hermite polynomials in terms of the higher-order degenerate Bernoulli, Euler, and Frobenius-Euler polynomials and vice versa. (c) 2022 Elsevier Inc. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.aam.2022.102359 | ADVANCES IN APPLIED MATHEMATICS |
Keywords | DocType | Volume |
Degenerate Hermite polynomials, Degenerate Bernoulli polynomials, Degenerate Euler polynomials, Degenerate Frobenius-Euler, polynomials, Bernoulli polynomials, Euler polynomials | Journal | 139 |
ISSN | Citations | PageRank |
0196-8858 | 0 | 0.34 |
References | Authors | |
0 | 5 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tae-Kyun Kim | 1 | 1987 | 129.30 |
| Dae San Kim | 2 | 61 | 28.59 |
| Lee-Chae Jang | 3 | 77 | 17.18 |
| Hyunseok Lee | 4 | 6 | 2.55 |
| Hanyoung Kim | 5 | 0 | 0.34 |