Results 41 to 50 of about 263 (108)

Bernoulli type polynomials on Umbral Algebra

, 2011
The aim of this paper is to investigate generating functions for modification of the Milne-Thomson's polynomials, which are related to the Bernoulli polynomials and the Hermite polynomials. By applying the Umbral algebra to these generating functions, we
G Bretti, G Dattoli, L M Milne-Thomson, M-S Kim, P Blasiak, R Dere, R. Dere, S Roman, Y. Simsek   +8 more
core   +1 more source

Two-Dilaton Theories in Two Dimensions from Dimensional Reduction

, 2001
Dimensional reduction of generalized gravity theories or string theories generically yields dilaton fields in the lower-dimensional effective theory. Thus at the level of D=4 theories, and cosmology many models contain more than just one scalar field (e ...
Brans, Callan, Cavaglià, Cruz, D'Hoker, D. Grumiller, D. Hofmann, Damour, Damour, Dicke, Duff, Fierz, Gowdy, Grosse, Grumiller, Grumiller, Hájíček, Ikeda, Jackiw, Jordan, Jordan, Kaluza, Katanaev, Katanaev, Katanaev, Katanaev, Klein, Klein, Klösch, Klösch, Kummer, Kummer, Kummer, Kummer, Kummer, Kummer, Kummer, Kummer, Lau, Magnano, Mann, Perlmutte, Schaller, Teitelboim, Thomi, W. Kummer, Weinberg, Zlatev   +47 more
core   +2 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

Combinatorics and Boson normal ordering: A gentle introduction

, 2007
We discuss a general combinatorial framework for operator ordering problems by applying it to the normal ordering of the powers and exponential of the boson number operator.
A. Horzela, A. I. Solomon, Abramovitz M., Bjorken J. D., Blasiak P., Dirac P. A. M., G. H. E. Duchamp, K. A. Penson, Klauder J. R., Louisell W. H., P. Blasiak, Roman S., Wilf H. S.   +12 more
core   +1 more source

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

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

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

(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

A Physics‐Informed Learning Framework to Solve the Infinite‐Horizon Optimal Control Problem

International Journal of Robust and Nonlinear Control, Volume 35, Issue 16, Page 6932-6944, 10 November 2025.
ABSTRACT We propose a physics‐informed neural networks (PINNs) framework to solve the infinite‐horizon optimal control problem of nonlinear systems. In particular, since PINNs are generally able to solve a class of partial differential equations (PDEs), they can be employed to learn the value function of the infinite‐horizon optimal control problem via
Filippos Fotiadis, Kyriakos G. Vamvoudakis   +1 more
wiley   +1 more source

Data‐Driven Inverse Design of Spinodoid Architected Materials

GAMM-Mitteilungen, Volume 48, Issue 4, November 2025.
Abstract We present a workflow for the inverse design of architected materials with targeted effective mechanical properties. The approach leverages a low‐dimensional descriptor space to represent the topology and morphology of complex mesostructures, enabling efficient navigation within the design space.
Alexandra Otto, Max Rosenkranz, Karl A. Kalina, Markus Kästner   +3 more
wiley   +1 more source