✦ LIBER ✦

Characteristic functions and Bernoulli numbers

✍ Scribed by Daniel Dugué

Publisher: Elsevier Science
Year: 1972
Tongue: English
Weight: 195 KB
Volume: 2
Category: Article
ISSN: 0047-259X
DOI: 10.1016/0047-259x(72)90030-9

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

q-Bernoulli numbers and polynomials

✍ Waleed A. Al-Salam 📂 Article 📅 1958 🏛 John Wiley and Sons 🌐 English ⚖ 676 KB

Asymptotic Expansions of Ellipsoidal Wav

Asymptotic Expansions of Ellipsoidal Wave Functions and their Characteristic Numbers

✍ Harald J. W. Müller 📂 Article 📅 1966 🏛 John Wiley and Sons 🌐 English ⚖ 488 KB

I t is shown that a simple pair of asymptotic expansions exists for solutions of the ellipsoidal wave equation. An asymptotic expansion for t,he characteristic numbers is also obtained.

Bernoulli Numbers and Polynomials via Re

Bernoulli Numbers and Polynomials via Residues

✍ I-Chiau Huang; Su-Yun Huang 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 139 KB

An algebraic theory of residues is used to evaluate summations of the form Various identities involving Bernoulli numbers and polynomials are derived.

Some Identities Involving Bernoulli and

Some Identities Involving Bernoulli and Stirling Numbers

✍ Susumu Shirai; Ken-ichi Sato 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 117 KB

In this paper we prove some identities involving Bernoulli and Stirling numbers, relation for two or three consecutive Bernoulli numbers, and various representations of Bernoulli numbers.

Congruences for Bernoulli, Euler, and St

Congruences for Bernoulli, Euler, and Stirling Numbers

✍ Paul Thomas Young 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 193 KB

We use properties of p-adic integrals and measures to obtain congruences for higher-order Bernoulli and Euler numbers and polynomials, as well as for certain generalizations and for Stirling numbers of the second kind. These congruences are analogues and generalizations of the usual Kummer congruenc

Arithmetic Properties of Bernoulli–Padé

Arithmetic Properties of Bernoulli–Padé Numbers and Polynomials

✍ Karl Dilcher; Louise Louise 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 126 KB

A class of generating functions based on the Padé approximants of the exponential function gives a doubly infinite class of number and polynomial sequences. These generalize the Bernoulli numbers and polynomials, as well as other sequences found in the literature. We derive analogues of the Kummer c