An analytic approach to special numbers and polynomials

zbMATH Open1332.11028arXiv1302.3115MaRDI QIDQ5502234

Grzegorz Rządkowski

Publication date: 18 August 2015

Abstract: The purpose of this article is to present, in a simple way, an analytic approach to special numbers and polynomials. The approach is based on the derivative polynomials. The paper is, to some extent, a review article, although it contains some new elements. In particular, it seems that some integral representations for Bernoulli numbers and Bernoulli polynomials can be seen as new.

Full work available at URL: https://arxiv.org/abs/1302.3115

File on IPFS (Hint: this is only the Hash - if you get a timeout, this file is not available on our server.)

zbMATH Keywords

integral representationBernoulli numberBernoulli polynomialEulerian numberEulerian polynomialderivative polynomialMacMahon numberMacMahon polynomial

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68)

Uses Software

• OEIS

Recommendations

• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Recent trends in special numbers and special functions and polynomials 👍 👎
• Special numbers and polynomials including their generating functions in umbral analysis methods 👍 👎
• On some special polynomials 👍 👎
• A special approach to derive new formulas for some special numbers and polynomials 👍 👎
• Analytic Methods in Number Theory 👍 👎

This page was built for publication: An analytic approach to special numbers and polynomials

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5502234)