Next Article in Journal
Best Proximity Point Theorems in Partially Ordered b-Quasi Metric Spaces
Previous Article in Journal
Viability for Semilinear Differential Equations with Infinite Delay
Article Menu

Export Article

Open AccessArticle
Mathematics 2016, 4(4), 65; doi:10.3390/math4040065

Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials

1,2,3,* and 4
1
Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China
2
College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China
3
Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300387, China
4
School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, Henan, China
*
Author to whom correspondence should be addressed.
Academic Editor: Hari M. Srivastava
Received: 27 April 2016 / Revised: 8 November 2016 / Accepted: 17 November 2016 / Published: 24 November 2016
View Full-Text   |   Download PDF [251 KB, uploaded 24 November 2016]   |  

Abstract

In the paper, the authors recall some known determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, find alternative determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, and present several new recurrence relations for the Bernoulli numbers and polynomials. View Full-Text
Keywords: determinantal expression; recurrence relation; Bernoulli number; Bernoulli polynomial; Hessenberg determinant determinantal expression; recurrence relation; Bernoulli number; Bernoulli polynomial; Hessenberg determinant
Figures

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. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Qi, F.; Guo, B.-N. Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials. Mathematics 2016, 4, 65.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top