Results 61 to 70 of about 28,297 (240)
Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System
Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 2098-2113, February 2026.ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
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On a Class of Integrals Involving a Bessel Function Times Gegenbauer Polynomials
International Journal of Mathematics and Mathematical Sciences, 2007 We provide information and explicit formulae for a class of integrals involving Bessel functions and Gegenbauer polynomials. We present a simple proof of an old formula of Gegenbauer.
Stamatis Koumandos
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Origin of Optimal Composition and Density for Li‐Ion Diffusion in Amorphous Li–P–S Electrolytes
Advanced Energy Materials, Volume 16, Issue 4, 28 January 2026.AI‐driven simulations reveal that Li–S4 coordination and pore evolution govern short‐range Li dynamics and thus ion transport in Li2S–P2S5 glasses. This unified framework explains the optimal conductivity near Li3PS4 and 1.8 g/cm³ and clarifies why excess free volume suppresses diffusion, offering design principles for high‐performance amorphous solid ...
Chihun Kim, Hyun‐Jae Lee, Byungju Lee
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Advanced analytic treatment and efficient computation of the diffraction integrals in the extended Nijboer-Zernike theory [PDF]
Journal of the European Optical Society-Rapid Publications, 2013 The computational methods for the diffraction integrals that occur in the Extended Nijboer-Zernike (ENZ-) approach to circular, aberrated, defocused optical systems are reviewed and updated.
van Haver S., Janssen A. J. E. M.
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Quadrature formulas for Bessel polynomials
Indagationes Mathematicae, 2023 A quadrature formula is a formula computing a definite integration by evaluation at finite points. The existence of certain quadrature formulas for orthogonal polynomials is related to interesting problems such as Waring's problem in number theory and spherical designs in algebraic combinatorics.
openaire +3 more sources
Magnetic Resonance in Medicine, Volume 95, Issue 1, Page 204-219, January 2026.Abstract Purpose Rotational invariants (RIs) are at the root of many dMRI applications. Among others, they are presented as a sensible way of reducing the dimensionality of biophysical models. While thermal noise impact on diffusion metrics has been well studied, little is known on its effect on spherical harmonics‐based RI (RISH) features and derived ...
Guillem París +5 more
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An expansion formula for the H-function of two variables
Revista Técnica de la Facultad de Ingeniería, 2011 The object of this note is to evaluate an integral associated with Bessel polynomials and the H-function of two variables and to apply it in proving an expansion formula for the H-function of two variables in series of product of the Bessel polynomials ...
R. K. Saxena, S. L. Kalla
doaj
, 2014 A q-analogue of Erdelyi's formula for the Hankel transform of the product of Laguerre polynomials is derived using the quantum linking groupoid between the quantum SU(2) and E(2) groups.
De Commer, Kenny, Koelink, Erik
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A theorem concerning Fourier transforms: A survey
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
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Definite Integrals using Orthogonality and Integral Transforms
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
Howard S. Cohl, Hans Volkmer
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