Version 1
: Received: 11 October 2016 / Approved: 11 October 2016 / Online: 11 October 2016 (10:40:02 CEST)
How to cite:
Qi, F.; Guo, B. A Determinantal Expression and a Recurrence Relation for the Euler Polynomials. Preprints2016, 2016100034. https://doi.org/10.20944/preprints201610.0034.v1
Qi, F.; Guo, B. A Determinantal Expression and a Recurrence Relation for the Euler Polynomials. Preprints 2016, 2016100034. https://doi.org/10.20944/preprints201610.0034.v1
Qi, F.; Guo, B. A Determinantal Expression and a Recurrence Relation for the Euler Polynomials. Preprints2016, 2016100034. https://doi.org/10.20944/preprints201610.0034.v1
APA Style
Qi, F., & Guo, B. (2016). A Determinantal Expression and a Recurrence Relation for the Euler Polynomials. Preprints. https://doi.org/10.20944/preprints201610.0034.v1
Chicago/Turabian Style
Qi, F. and Bai-Ni Guo. 2016 "A Determinantal Expression and a Recurrence Relation for the Euler Polynomials" Preprints. https://doi.org/10.20944/preprints201610.0034.v1
Abstract
In the paper, by a very simple approach, the author establishes an expression in terms of a lower Hessenberg determinant for the Euler polynomials. By the determinantal expression, the author finds a recurrence relation for the Euler polynomials. By the way, the author derives the corresponding expression and recurrence relation for the Euler numbers.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received:
20 September 2017
Commenter:
Feng Qi
Commenter's Conflict of Interests:
I am the first and corresponding author for this preprint
Comment:
This preprint has been formally published as
Feng Qi and Bai-Ni Guo, A determinantal expression and a recurrence relation for the Euler polynomials, Advances and Applications in Mathematical Sciences 16 (2017), no. 9, 297--309.
Commenter: kader
The commenter has declared there is no conflict of interests.
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the corresponding author of this paper.
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the first and corresponding author for this preprint
Feng Qi and Bai-Ni Guo, A determinantal expression and a recurrence relation for the Euler polynomials, Advances and Applications in Mathematical Sciences 16 (2017), no. 9, 297--309.