𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Remarks on some relationships between the Bernoulli and Euler polynomials

✍ Scribed by H.M Srivastava; Á Pintér

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
293 KB
Volume
17
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

In a recent paper which appeared in this journal, Cheon [1] rederived several known properties and relationships involving the classical Bernoulli and Euler polynomials. The object of the present sequel to Cheon's work [1] is to show (among other things) that the main relationship (proven in [1]) can easily be put in a much more general setting. Some analogous relationships between the Bernoulli and Euler polynomials are also considered. (~) 2004 Elsevier Ltd. All rights reserved.

📜 SIMILAR VOLUMES

Some results on the Apostol–Bernoulli an
Some results on the Apostol–Bernoulli and Apostol–Euler polynomials
✍ Weiping Wang; Cangzhi Jia; Tianming Wang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 270 KB

The main object of this paper is to investigate the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials. We first establish two relationships between the generalized Apostol-Bernoulli and Apostol-Euler polynomials. It can be found that many results obtained before are special cases of th

A note on the Bernoulli and Euler polyno
A note on the Bernoulli and Euler polynomials
✍ Gi-Sang Cheon 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 150 KB

In this paper, we obtain a simple property of the Bernoulli polynomials Bn(x) and the Euler polynomials Er~(X). As a consequence, the relationship between two polynomials is obtained from n k=0 ,~1

On the relationship between the homotopy
On the relationship between the homotopy analysis method and Euler transform
✍ Shijun Liao 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 233 KB

A new transform, namely the homotopy transform, is defined for the first time. Then, it is proved that the famous Euler transform is only a special case of the so-called homotopy transform which depends upon one non-zero auxiliary parameter h and two convergent series P þ1 k¼1 a 1;k ¼ 1 and In the