Results 61 to 70 of about 18,610 (207)
Advanced Optical Materials, Volume 14, Issue 5, 2 February 2026.A simple and efficient method for determining the stability of optical vortices via Fourier transform using a conventional spherical lens is presented. The theoretical and experimental results demonstrate a practical approach to directly and unambiguously measure the magnitude and sign of the topological charge of a beam without altering an ...
Elena Melnikova +5 more
wiley +1 more source
On the Complex Zeros of Some Families of Orthogonal Polynomials
Abstract and Applied Analysis, 2010 The complex zeros of the orthogonal Laguerre polynomials 𝐿𝑛(𝑎)(𝑥) for ...
Eugenia N. Petropoulou
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The q-Laguerre matrix polynomials [PDF]
SpringerPlus, 2016 The Laguerre polynomials have been extended to Laguerre matrix polynomials by means of studying certain second-order matrix differential equation. In this paper, certain second-order matrix q-difference equation is investigated and solved. Its solution gives a generalized of the q-Laguerre polynomials in matrix variable.
openaire +2 more sources
Earth and Space Science, Volume 13, Issue 2, February 2026.Abstract Passive seismic ambient noise interferometry (ANI) has shown potential for lunar seismic exploration, offering the capability to detect near‐surface subsurface structures critical for future lunar mission, such as near‐surface ice deposits and lava tubes, without the need for active seismic sources.
Kai Nierula +4 more
wiley +1 more source
On a family of q-modified-Laguerre-Appell polynomials
Arab Journal of Basic and Applied SciencesThis paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored.
Mohammed Fadel, Abdulghani Muhyi
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Abstract and Applied Analysis, 2014 The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line.
Ali H. Bhrawy +3 more
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مجلة العلوم البحتة والتطبيقية, 2020 The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
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Graph presentations for moments of noncentral Wishart distributions and their applications
, 2010 We provide formulas for the moments of the real and complex noncentral Wishart distributions of general degrees. The obtained formulas for the real and complex cases are described in terms of the undirected and directed graphs, respectively.
Kuriki, Satoshi, Numata, Yasuhide
core +2 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
wiley +1 more source
Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials
Abstract and Applied Analysis, 2012 Let Pn={p(x)∈ℝ[x]∣deg p(x)≤n} be an inner product space with the inner product 〈p(x),q(x)〉=∫0∞xαe-xp(x)q(x)dx, where p(x),q(x)∈Pn and α∈ℝ with α>-1. In this paper we study the properties of the extended Laguerre polynomials which are an orthogonal basis
Taekyun Kim, Dae San Kim
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