Results 51 to 60 of about 1,365,933 (128)

Sheffer and Non-Sheffer Polynomial Families [PDF]

, 2012
By using the integral transform method, we introduce some non-Sheffer polynomial sets. Furthermore, we show how to compute the connection coefficients for particular expressions of Appell ...
B. Germano, G. Dattoli, M. R. Martinelli, P. E. Ricci   +3 more
core   +3 more sources

Robust constrained weighted least squares for in vivo human cardiac diffusion kurtosis imaging

Magnetic Resonance in Medicine, Volume 95, Issue 1, Page 220-233, January 2026.
Abstract Purpose Cardiac diffusion tensor imaging (cDTI) can investigate the microstructure of heart tissue. At sufficiently high b‐values, additional information on microstructure can be observed, but the data require a representation such as diffusion kurtosis imaging (DKI).
Sam Coveney, Maryam Afzali, Lars Mueller, Irvin Teh, Filip Szczepankiewicz, Derek K. Jones, Jürgen E. Schneider   +6 more
wiley   +1 more source

FTheoryTools: Advancing Computational Capabilities for F‐Theory Research

Fortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies, Miķelis E. Miķelsons, Andrew P. Turner   +2 more
wiley   +1 more source

(Discrete) Almansi Type Decompositions: An umbral calculus framework based on $\mathfrak{osp}(1|2)$ symmetries

, 2011
We introduce the umbral calculus formalism for hypercomplex variables starting from the fact that the algebra of multivariate polynomials $\BR[\underline{x}]$ shall be described in terms of the generators of the Weyl-Heisenberg algebra. The extension of $
Abul-ez, Almansi, Aronszajn, Blasiak, Bock, Brackx, Cnops, Cohen, Constales, Dattoli, De Bie, De Ridder, Delanghe, Di Bucchianico, Di Bucchianico, Dimakis, Faustino, Frappat, Gilbert, Gürlebeck, Howe, Howe, Levi, Lorente, Malonek, Malonek, Malonek, Ren, Render, Roman, Roman, Ryan, Shun-Jen, Smirnov, Smirnov, Sommen, Tempesta, Turbiner, Wigner, Zhang   +39 more
core   +1 more source

Pseudo Laguerre Matrix Polynomials, Operational Identities and Quasi-Monomiality

, 2018
The main purpose of this paper is to introduce the matrix extension of the pseudo Laguerre matrix polynomials and to explore the formal properties of the operational rules and the principle of quasi-monomiality to derive a number of properties for pseudo
M. Bin-Saad, M. A. Pathan
semanticscholar   +1 more source

Some Inequalities on Polynomials in the Complex Plane Concerning a Linear Differential Operator

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we consider new extremal problems in the uniform norm between a univariate complex polynomial and its associated reciprocal polynomial involving a generalized B‐operator. Our first result deals with inequality for the upper bound of a polynomial having s‐fold zero at the origin governed by generalized B‐operator, and as applications of ...
Mayanglambam Singhajit Singh, Madhav Prasad Poudel, Barchand Chanam, Pramita Mishra   +3 more
wiley   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun, Seong‐Mi Seo, Meng Yang   +2 more
wiley   +1 more source

Investigating the Properties and Dynamic Applications of Δ_h Legendre–Appell Polynomials

Mathematics
This research aims to introduce and examine a new type of polynomial called the Δh Legendre–Appell polynomials. We use the monomiality principle and operational rules to define the Δh Legendre–Appell polynomials and explore their properties.
Noor Alam, Shahid Ahmad Wani, Waseem Ahmad Khan, Hasan Nihal Zaidi   +3 more
doaj   +1 more source

Persistence of unknottedness of clean Lagrangian intersections

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley   +1 more source

Virtual Element Method for Piezoelasticity

International Journal for Numerical Methods in Engineering, Volume 126, Issue 22, 30 November 2025.
ABSTRACT This paper presents a Virtual Element Method (VEM) for the simulation of 2D and 3D piezoelectric problems. Piezoelectric materials exhibit strong multiphysics coupling behavior and have the ability to convert mechanical energy into electrical energy.
Yi Yang, Jian Meng, Wei‐Long Fan, Jun Lv, Bing‐Bing Xu   +4 more
wiley   +1 more source