Results 71 to 80 of about 535,269 (286)

Molecular Orientation and Structure Formation of BOPHY Chromophores in Langmuir Films: A Combined Experimental and Theoretical Study

Advanced Materials Interfaces, Volume 12, Issue 24, December 22, 2025.
The orientation and organization of an amphiphilic BOPHY dye in Langmuir monolayers are investigated using in situ XRR, GIXD, and MD simulations. Two condensed phases are identified: alkyl chains govern packing density, while chromophores remain locally ordered.
Maximilian L. Hupfer, Richard Jacobi, Philipp Fischer, Anna Elmanova, Sarah Jasmin Finkelmeyer, Wim Dehaen, Philippe Fontaine, Leticia González, Martin Presselt   +8 more
wiley   +1 more source

Exceptional Differential Polynomial Systems Formed by Simple Pseudo-Wronskians of Jacobi Polynomials and Their Infinite and Finite X-Orthogonal Reductions

Mathematics
The paper advances a new technique for constructing the exceptional differential polynomial systems (X-DPSs) and their infinite and finite orthogonal subsets.
Gregory Natanson
doaj   +1 more source

Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

International Journal of Mathematics and Mathematical Sciences, 2011
We extend a collocation method for solving a nonlinear ordinary differential equation (ODE) via Jacobi polynomials. To date, researchers usually use Chebyshev or Legendre collocation method for solving problems in
Ahmad Imani, Azim Aminataei, Ali Imani
doaj   +1 more source

INTEGRAL REPRESENTATIONS FOR THE JACOBI–PINEIRO POLYNOMIALS AND THE FUNCTIONS OF THE SECOND KIND

Проблемы анализа, 2019
We consider the Hermite – Pad´e approximants for the Cauchy transforms of the Jacobi weights in one interval. The denominators of the approximants are known as Jacobi – Pi˜neiro polynomials.
V. G. Lysov
doaj   +1 more source

LU factorizations, q=0 limits, and p-adic interpretations of some q-hypergeometric orthogonal polynomials

, 2006
For little q-Jacobi polynomials and q-Hahn polynomials we give particular q-hypergeometric series representations in which the termwise q=0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as LU factorizations.
A. Okounkov, C. Krattenthaler, C.F. Dunkl, H.T. Koelink, I.G. Macdonald, K.T. Andrews, K.T. Andrews, L. Carlitz, M. Voit, P. Terwilliger, P. Terwilliger, P. Terwilliger, T.H. Koornwinder, Tom H. Koornwinder, U. Onn, Uri Onn, W. Groenevelt   +16 more
core   +2 more sources

On the Extreme Zeros of Jacobi Polynomials

, 2023
By applying the Euler--Rayleigh methods to a specific representation of the Jacobi polynomials as hypergeometric functions, we obtain new bounds for their largest zeros. In particular, we derive upper and lower bound for $1-x_{nn}^2( )$, with $x_{nn}( )$ being the largest zero of the $n$-th ultraspherical polynomial $P_n^{( )}$.
openaire   +2 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

Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials

Discrete Dynamics in Nature and Society, 2012
We investigate some identities on the Bernoulli and the Hermite polynomials arising from the orthogonality of Jacobi polynomials in the inner product space Pn.
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy   +2 more
doaj   +1 more source

A transference result of the $L^p$ continuity of the Jacobi Riesz transform to the Gaussian and Laguerre Riesz transforms [PDF]

, 2012
In this paper using the well known asymptotic relations between Jacobi polynomials and Hermite and Laguerre polynomials. We develop a transference method to obtain the $L^p$-continuity of the Gaussian-Riesz transform and the $L^p$-continuity of the ...
Eduard Navas, O. Urbina, Wilfredo
core  

Zeros of Quasi-Orthogonal Jacobi Polynomials ? [PDF]

, 2015
We consider interlacing properties satisfied by the zeros of Jacobi polynomials in quasi-orthogonal sequences characterised by > 1, 2 1 and 2 1, 2 < < 1.
K. Driver, K. Jordaan
semanticscholar   +1 more source