Results 131 to 140 of about 58,842 (311)
Discrete semi-classical orthogonal polynomials: Generalized Meixner
Journal of Approximation Theory, 1986 The property of quasiorthogonality of the derivative of semi classical orthogonal is extended to the discrete case for the generalized Meixner polynomials. The positive weigth \(\rho\) (x) is solution of the difference equation A(x) \(\rho\) (x\(+1)-B(x) \rho (x)=0\) with A(x) and B(x) polynomials of degree respectively \(\alpha\) and \(\beta\).
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Numerical Integration of Slater Basis Functions Over Prolate Spheroidal Grids
Journal of Computational Chemistry, Volume 47, Issue 1, 05 January 2026.Atom‐centered Slater functions are integrated over a prolate spheroidal grid, allowing the use of larger basis sets in correlated electronic structure computations. ABSTRACT Slater basis functions have desirable properties that can improve electronic structure simulations, but improved numerical integration methods are needed. This work builds upon the
Alexander Stark +5 more
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A note on parameter derivatives of classical orthogonal polynomials [PDF]
, 2009 Radosław Szmytkowski
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Colossal Cryogenic Electro‐Optic Response Through Metastability in Strained BaTiO3 Thin Films
Advanced Materials, Volume 38, Issue 3, 13 January 2026.Utilizing the thermodynamic theory of optical properties, a colossal cryogenic electro‐optic response in BaTiO3 thin films is designed and demonstrated by stabilizing a low symmetry metastable monoclinic phase via epitaxial strain tuning with an electro‐optic response reaching ≈2516 pm V−1 at 5 K. This approach represents a new paradigm for engineering
Albert Suceava +16 more
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Spline Quadrature and semi-classical orthogonal Jacobi Polynomials [PDF]
, 2021 Helmut Ruhland
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Advanced Intelligent Systems, Volume 8, Issue 1, January 2026.This perspective article considers what computations optical computing can and should enable. Focusing upon free‐space optical computing, it argues that a codesign approach whereby materials, devices, architectures, and algorithms are simultaneously optimized is needed.
Prasad P. Iyer +6 more
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On the spectrum of tridiagonal matrices with two-periodic main diagonal
Special MatricesWe find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
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Recurrence Coefficients of a New Generalization of the Meixner Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We investigate new generalizations of the Meixner polynomials on the lattice N, on the shifted lattice N+1−β and on the bi-lattice N∪(N+1−β). We show that the coefficients of the three-term recurrence relation for the orthogonal polynomials are related ...
Galina Filipuk, Walter Van Assche
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Non-classical Orthogonality Relations for Continuous q-Jacobi Polynomials [PDF]
, 2011 Samuel G. Moreno +1 more
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Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control
Advanced Intelligent Systems, Volume 8, Issue 1, January 2026.This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao +5 more
wiley +1 more source