Results 121 to 130 of about 1,656 (235)

On the Coupling of Reaction–Diffusion–Transport Equations With Biot's Poroelasticity Model: An Application to Meniscus Regeneration

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Regenerative medicine is a promising approach for the treatment of meniscus injuries. In silico experiments provide a valuable framework for optimizing such therapies by improving the understanding of both environmental effects on cell behavior and the interaction between cells and nonwoven scaffolds, which act as porous media supporting cell ...
Ahmad Hussein, Jeremias Arf, Bernd Simeon, Christina Surulescu   +3 more
wiley   +1 more source

Formulas Involving Cauchy Polynomials, Bernoulli Polynomials, and Generalized Stirling Numbers of Both Kinds

Axioms
In 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

On a family of Euler-type numbers and polynomials

Rendiconti di Matematica e delle Sue Applicazioni, 2023
Summary: We consider a family of Euler-type polynomials, depending on a real parameter \(\alpha \neq 0, 1\). The case \(\alpha = 2\) corresponds to standard Euler polynomials. We show some properties of these polynomials, and show also two generalized recurrences.
openaire   +2 more sources

The mod 2 Seiberg–Witten invariants of spin structures and spin families

Journal of Topology, Volume 19, Issue 4, December 2026.
Abstract We completely determine the mod 2 Seiberg–Witten invariants for any spin structure on any closed, oriented, smooth 4‐manifold X$X$. Our computation confirms the validity of the simple‐type conjecture mod 2 for spin structures. Our proof also works for families of spin 4‐manifolds and thus computes the mod 2 Seiberg–Witten invariants for spin ...
David Baraglia
wiley   +1 more source

Novel Bernstein‐Kantorovich Type Operators

Mathematical Methods in the Applied Sciences, Volume 49, Issue 16, Page 17069-17095, 15 November 2026.
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as K β n , θ $$ {K}_{\beta}^{n,\theta } $$ , parameterized by 0 < β < 1 $$ 0<\beta <1 $$ and θ > 0 $$ \theta >0 $$ . We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for K β ...
Pembe Sabancigil, Nazim I. Mahmudov
wiley   +1 more source

An Identity for Generalized Euler Polynomials [PDF]

In this paper, we introduce a novel identity for generalized Euler polynomials, leading to further generalizations for several relations involving classical Euler numbers, Euler polynomials, Genocchi polynomials, and Genocchi ...
Redha, Chellal
core   +1 more source

Identities Arising from a Certain Family of Special Combinatorial Numbers and Polynomials

Mathematics
The results obtained in this paper extend several identities and interpolation formulas previously established for the numbers y9,n(λ;a) to the higher-order case.
Damla Gun, Abdelmejid Bayad, Yilmaz Simsek   +2 more
doaj   +1 more source

A note on the generalized Euler numbers and polynomials

, 2009
In this paper, we derive some interesting symmetric properties for the geenralized Euler numbers and polynomials.
openaire   +2 more sources

A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials

, 2012
8 pages ...
Araci, Serkan, Acikgoz, Mehmet
openaire   +2 more sources

The Pascal Matrix Function and Its Applications to Bernoulli Numbers and Bernoulli Polynomials and Euler Numbers and Euler Polynomials

, 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