Results 111 to 120 of about 1,563 (216)
On the theory of the Bernoulli polynomials and numbers
Journal of Mathematical Analysis and Applications, 1984 This is an excellent paper containing several new representations of the Bernoulli polynomials and the Bernoulli numbers. In the sequel, let \(n\) be any nonnegative integer unless otherwise specified, and let \(S(n,k)\) be the Stirling numbers of the second kind.
openaire +1 more source
, 2015 A Pascal matrix function is introduced by Call and Velleman in [3]. In this paper, we will use the function to give a united approach in the study of Bernoulli numbers and Bernoulli polynomials. Many well-known and new properties of the Bernoulli numbers
Shiue, Peter, Liao, Jeff, He, Tian-Xiao
core
Conservation Science and Practice, Volume 8, Issue 9, September 2026.We analyzed delegation size, voting records, and working‐group rosters across five CITES Conferences of the Parties (CoP16–20) to examine how Party‐level traits predict delegation size and how delegation size shapes participation when Committees meet concurrently.
Freyja Watters, Phillip Cassey
wiley +1 more source
Probabilistic degenerate Bernoulli and degenerate Euler polynomials
Mathematical and Computer Modelling of Dynamical SystemsRecently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo +3 more
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Generalizations of the Bernoulli and Appell polynomials
Abstract and Applied Analysis, 2004 We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag-Leffler functions.
Gabriella Bretti +2 more
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Fish and Fisheries, Volume 27, Issue 5, Page 1088-1106, September 2026.ABSTRACT Quantifying harvest of fish stocks is challenging as census data are often unavailable, so surveys are required. Traditional probability‐based surveys use random sampling to obtain representative data that can be scaled to estimate total impact.
Zachary Radford +8 more
wiley +1 more source
Journal of Applied Mathematics, 2013 Recently, many mathematicians have studied different kinds of the Euler, Bernoulli, and Genocchi numbers and polynomials. In this paper, we give another definition of polynomials Ũn(x).
J. Y. Kang, C. S. Ryoo
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Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
wiley +1 more source
A generalization of the Bernoulli polynomials
Journal of Applied Mathematics, 2003 A generalization of the Bernoulli polynomials and, consequently, of the Bernoulli numbers, is defined starting from suitable generating functions. Furthermore, the differential equations of these new classes of polynomials are derived by means of the ...
Pierpaolo Natalini, Angela Bernardini
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On Elliott's conjecture and applications
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman +2 more
wiley +1 more source