Preprint Short Note Version 1 NOT YET PEER-REVIEWED

A Determinantal Expression and a Recurrence Relation for the Euler Polynomials

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. Preprints 2016, 2016100034 (doi: 10.20944/preprints201610.0034.v1). Qi, F.; Guo, B. A Determinantal Expression and a Recurrence Relation for the Euler Polynomials. Preprints 2016, 2016100034 (doi: 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.

Subject Areas

determinantal expression; recurrence relation; Euler polynomial; Euler number; Hessenberg determinant

Readers' Comments and Ratings (1)

Comment 1
Received: 26 March 2017
Commenter: kader
The commenter has declared there is no conflict of interests.
Comment: bel article
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