Three identities and a determinantal formula for differences between Bernoulli polynomials and numbers-Reference-Cited by-同舟云学术

Three identities and a determinantal formula for differences between Bernoulli polynomials and numbers

Published:2023 Issue:1 Volume:32 Page:224-240
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Cao Jian¹,López-Bonilla José Luis²,Qi Feng³⁴⁵

Affiliation:

1. School of Mathematics, Hangzhou Normal University, Hangzhou 311121, Zhejiang, China

2. ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 4, 1er. Piso, Col. Lindavista CP 07738, CDMX

3. Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, Henan, China

4. School of Mathematics and Physics, Hulunbuir University, Inner Mongolia 021008, China

5. Independent researcher, Dallas, TX 75252-8024, USA

Abstract

<abstract><p>In the paper, the authors simply review recent results of inequalities, monotonicity, signs of determinants, determinantal formulas, closed-form expressions, and identities of the Bernoulli numbers and polynomials, establish an identity involving the differences between the Bernoulli polynomials and the Bernoulli numbers, present two identities among the differences between the Bernoulli polynomials and the Bernoulli numbers in terms of a determinant and a partial Bell polynomial, and derive a determinantal formula of the differences between the Bernoulli polynomials and the Bernoulli numbers.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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