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Note on the Type 2 Degenerate Multi-Poly-Euler Polynomials.
- Source :
-
Symmetry (20738994) . Oct2020, Vol. 12 Issue 10, p1691. 1p. - Publication Year :
- 2020
-
Abstract
- Kim and Kim (Russ. J. Math. Phys. 26, 2019, 40-49) introduced polyexponential function as an inverse to the polylogarithm function and by this, constructed a new type poly-Bernoulli polynomials. Recently, by using the polyexponential function, a number of generalizations of some polynomials and numbers have been presented and investigated. Motivated by these researches, in this paper, multi-poly-Euler polynomials are considered utilizing the degenerate multiple polyexponential functions and then, their properties and relations are investigated and studied. That the type 2 degenerate multi-poly-Euler polynomials equal a linear combination of the degenerate Euler polynomials of higher order and the degenerate Stirling numbers of the first kind is proved. Moreover, an addition formula and a derivative formula are derived. Furthermore, in a special case, a correlation between the type 2 degenerate multi-poly-Euler polynomials and degenerate Whitney numbers is shown. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIALS
*INVERSE functions
*EULER polynomials
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 12
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 146654821
- Full Text :
- https://doi.org/10.3390/sym12101691