Results 81 to 90 of about 7,852 (179)
The Zagier modification of Bernoulli numbers and a polynomial extension. Part I [PDF]
, 2012 The modified B_{n}^{*} = \sum_{r=0}^{n} \binom{n+r}{2r} \frac{B_{r}}{n+r}, \quad n > 0 introduced by D. Zagier in 1998 are extended to the polynomial case by replacing $B_{r}$ by the Bernoulli polynomials $B_{r}(x)$.
Dixit, Atul +2 more
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Structural Concrete, Volume 26, Issue 5, Page 5555-5577, October 2025.Abstract This study contributes to the fields of nondestructive testing (NDT) and structural health monitoring (SHM), which are pivotal for extending the service life of infrastructure and aligning with sustainability goals in construction. The study emphasizes an advanced application of the deformation area difference (DAD) Method, focusing on the ...
Tarik Čamo +2 more
wiley +1 more source
AxiomsIn this paper, we derive novel formulas and identities connecting Cauchy numbers and polynomials with both ordinary and generalized Stirling numbers, binomial coefficients, central factorial numbers, Euler polynomials, r-Whitney numbers, and ...
José L. Cereceda
doaj +1 more source
A Note On Multi Poly-Euler Numbers And Bernoulli Polynomials
, 2014 13 ...
Jolany, Hassan +3 more
openaire +2 more sources
Crossing estimates for the Ising model on general s‐embeddings
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract We prove Russo–Seymour–Welsh‐type crossing estimates for the FK–Ising model on general s‐embeddings whose origami map has an asymptotic Lipschitz constant strictly smaller than 1, provided it satisfies a mild non‐degeneracy assumption. This result extends the work of Chelkak and provides a general framework to prove that the usual connection ...
Rémy Mahfouf
wiley +1 more source
A new family of q-Bernstein polynomials: probabilistic viewpoint
Arab Journal of Basic and Applied SciencesIn this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc +2 more
doaj +1 more source
Identities on the k-ary Lyndon words related to a family of zeta functions
, 2016 The main aim of this paper is to investigate and introduce relations between the numbers of k-ary Lyndon words and unified zeta-type functions which was defined by Ozden et al [15, p. 2785].
Kucukoglu, Irem, Simsek, Yilmaz
core
Notes on Number Theory and Discrete Mathematics, 2023 The main aim of this paper is to introduce and investigate the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials by using monomiality principle and operational methods. We give explicit relations and some identities for the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials.
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On the Numerical Evaluation of Wall Shear Stress Using the Finite Element Method
International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 9, September 2025.We compare a modified variationally consistent boundary‐flux method for wall shear stress evaluation with standard projection technique in aneurysm models and two benchmark examples, demonstrating that the interplay between finite element choice, meshing strategy, and evaluation method has a significant and sometimes counter‐intuitive impact on ...
Jana Brunátová +3 more
wiley +1 more source
Free energy of spherical Coulomb gases with point charges
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We consider two‐dimensional Coulomb gases on the Riemann sphere with determinantal or Pfaffian structures, under external potentials that are invariant under rotations around the axis connecting the north and south poles, and with microscopic point charges inserted at the poles.
Sung‐Soo Byun +3 more
wiley +1 more source