𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bernoulli numbers and polynomials of arbitrary complex indices

✍ Scribed by P.L. Butzer; M. Hauss; M. Leclerc


Book ID
103925344
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
304 KB
Volume
5
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Congruences for Bernoulli numbers and Be
✍ Zhi-Hong Sun πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 292 KB

Let {B.(x)} be the well-known Bernoulli polynemials. It is the purpose of this paper to determine pB~p-t~+b(x)modp ", where p is a prime, k, b nonnegative integers and x a rational p-integer. It is interesting to investigate arithmetic properties of {B,} and {Bn(x)}. For the work on this line one ma

q-Bernoulli numbers and polynomials
✍ Waleed A. Al-Salam πŸ“‚ Article πŸ“… 1958 πŸ› John Wiley and Sons 🌐 English βš– 676 KB
Bernoulli Numbers and Polynomials via Re
✍ I-Chiau Huang; Su-Yun Huang πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 139 KB

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

Arithmetic Properties of Bernoulli–PadΓ©
✍ Karl Dilcher; Louise Louise πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 126 KB

A class of generating functions based on the PadΓ© 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