Results 11 to 20 of about 18,359 (203)
Identities on the Bernoulli and Genocchi Numbers and Polynomials [PDF]
We give some interesting identities on the Bernoulli numbers and polynomials, on the Genocchi numbers and polynomials by using symmetric properties of the Bernoulli and Genocchi polynomials.
Seog-Hoon Rim +2 more
doaj +3 more sources
A note on q-Bernoulli numbers and polynomials [PDF]
By using p-adic q-integrals, we study the q-Bernoulli numbers and polynomials of higher order.Comment: 8 ...
Barnes E W +18 more
core +3 more sources
On hypergeometric Bernoulli numbers and polynomials [PDF]
In this note, we shall provide several properties of hypergeometric Bernoulli numbers and polynomials, including sums of products identity, differential equations and recurrence formulas.Comment: 12 ...
Hu, Su, Kim, Min-Soo
core +3 more sources
Numerical semigroups, cyclotomic polynomials, and Bernoulli numbers [PDF]
13 pages, 2 diagrams, expository paper to appear in American Mathematical Monthly, mathematical improvements in section on symmetric numerical semigroups, LLL-diagram material added, many minor ...
Moree, P.
core +4 more sources
Generalizations of Bernoulli numbers and polynomials [PDF]
The concepts of Bernoulli numbers Bn, Bernoulli polynomials Bn(x), and the generalized Bernoulli numbers Bn(a, b) are generalized to the one Bn(x; a, b, c) which is called the generalized Bernoulli polynomials depending on three positive real parameters. Numerous properties of these polynomials and some relationships between Bn, Bn(x), Bn(a, b), and Bn(
Qiu-Ming Luo +3 more
doaj +2 more sources
Abstract Everything can be connected in the Internet of Things (IoTs) technology that enables efficient communication between connected objects. IoTs industry‐based meta‐heuristic and mining algorithms, which are considered an important field of Artificial Intelligence will be used to construct a healthcare application in this study for lowering costs,
Muhaned Al‐Hashimi +4 more
wiley +1 more source
Intent Arabic text categorisation based on different machine learning and term frequency
Abstract The complexity of Internet network configurations has made managing networks a complicated undertaking. Intent‐Based Networking (IBN) is a potential solution to this issue. In contrast to conventional networks, where a concrete description of the settings typically conveys a network administrator's goal kept on each device, an administrator's ...
Mohammad Fadhil Mahdi +1 more
wiley +1 more source
q-Bernoulli numbers and q-Bernoulli polynomials revisited [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim Taekyun, Lee Byungje, Ryoo Cheon
openaire +2 more sources
On $q$-hypergeometric Bernoulli polynomials and numbers
We introduce $q$-analogues of the hypergeometric Bernoulli polynomials in one and two real parameters and study several of their properties. Also we provide the inversion, the power representation, the multiplication and the addition formula for these polynomials. Classical results are recovered by limit transition.
Salifou MBOUTNGAM +1 more
openaire +4 more sources
Bernoulli Related Polynomials and Numbers [PDF]
The polynomials φ n ( x ; a , b ) {\varphi _n}(x;a,b) of degree n defined by the equations \[ Δ a φ n ( x
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