Results 121 to 130 of about 996,598 (373)

Sobolev orthogonal polynomials on a simplex

, 2011
The Jacobi polynomials on the simplex are orthogonal polynomials with respect to the weight function $W_\bg(x) = x_1^{\g_1} ... x_d^{\g_d} (1- |x|)^{\g_{d+1}}$ when all $\g_i > -1$ and they are eigenfunctions of a second order partial differential ...
Aktas, Rabia, Xu, Yuan
core  

Ordinary Generating Functions of Binary Products of Third-Order Recurrence Relations and 2-Orthogonal Polynomials [PDF]

, 2022
Hind Merzouk, Ali Boussayoud, Abdelhamid Abderrezzak   +2 more
openalex   +1 more source

Artificial intelligence‐assisted design, synthesis and analysis of smart biomaterials

BMEMat, EarlyView.
Smart biomaterials are rapidly emerging as tools for tissue engineering, and artificial intelligence has played essential roles in biomaterial studies. By bridging the literature gap in AI‐based design, synthesis and analysis of smart biomaterials, the current review shares perspectives on how biomaterial scientists can practically incorporate AI for ...
Pengfei Jiang, Yefei Dai, Yujun Hou, Joshua Stein, Shichen Steven Lin, Chaochen Zhou, Yannan Hou, Rongrong Zhu, Ki‐Bum Lee, Letao Yang   +9 more
wiley   +1 more source

On linearly related sequences of difference derivatives of discrete orthogonal polynomials [PDF]

, 2014
R. Álvarez-Nodarse, J. Petronilho, Natalia C. Pinzón-Cortés, R. Sevinik-Adıgüzel   +3 more
openalex   +1 more source

A [3]Rotaxane Containing {Ti7Ga} Rings Linking CuII: Synthesis, Structure, and Spectroscopic Studies

Chemistry – A European Journal, EarlyView.
Extended hybrid inorganic‐organic [2]‐ and [3]‐rotaxanes are reported based on heterometallic rings with threads that link CuII complexes; the crystal structures are reported, and the solution behavior is investigated by double electron electron resonance spectroscopy methods.
Selena J. Lockyer, Lubomir Loci, George F. S. Whitehead, Inigo J. Vitorica‐Yrezabal, Grigore A. Timco, Alice M. Bowen, Eric J. L. McInnes, Richard E. P. Winpenny   +7 more
wiley   +1 more source

Orthogonal Polynomials and Related Special Functions Applied in Geosciences and Engineering Computations

Communications, 2010
In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre
Vladimir Guldan, Mariana Marcokova
doaj   +1 more source

Jaynes-Gibbs Entropic Convex Duals and Orthogonal Polynomials. [PDF]

Entropy (Basel), 2022
Le Blanc R.
europepmc   +1 more source

On Freud–Sobolev type orthogonal polynomials [PDF]

, 2019
Luis E. Garza, Edmundo J. Huertas, Francisco Marcellán   +2 more
openalex   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]

Heliyon, 2022
Jan AR.
europepmc   +1 more source