Results 61 to 70 of about 22,462 (245)
A Study on the k-Mersenne and k-Mersenne-Lucas Sequences
In this study, we examine an application of $k-$Mersenne and $k-$Mersenne-Lucas sequences. We present the Catalan transforms of these sequences and give the properties of these Catalan transforms. Catalan transforms of $k-$Mersenne and $k-$Mersenne-Lucas
Mine Uysal +3 more
doaj +1 more source
In this work, we discuss a fractional model of a flow equation in a simple pipeline. Pipeline narrowing is a crucial aspect in drinking water distribution processes, sewage system and in oil-well schemes.
A. Choudhary, D. Kumar, J. Singh
doaj +1 more source
Hankel and Toeplitz operators: continuous and discrete representations
We find a relation guaranteeing that Hankel operators realized in the space of sequences $\ell^2 ({\Bbb Z}_{+}) $ and in the space of functions $L^2 ({\Bbb R}_{+}) $ are unitarily equivalent.
Yafaev, D. R.
core +3 more sources
Abstract Topologically structured light carrying orbital angular momentum (OAM) has emerged as a powerful tool for nano‐photonics and biomedical optics, yet conventional integer‐charge Laguerre–Gaussian (LG) beams suffer from rotational degeneracy that limits diagnostic precision.
Diana Galiakhmetova +7 more
wiley +1 more source
The paper investigates a Dirichlet-type boundary value problem for a three-dimensional elliptic equation with three singular coefficients in the first octant.
K.T. Karimov, M.R. Murodova
doaj +1 more source
Efficient quantum circuits for Toeplitz and Hankel matrices
Toeplitz and Hankel matrices have been a subject of intense interest in a wide range of science and engineering related applications. In this paper, we show that quantum circuits can efficiently implement sparse or Fourier-sparse Toeplitz and Hankel ...
Mahasinghe, A., Wang, J. B.
core +1 more source
Low‐Energy Atomic Scattering: S‐Wave Relation Between the Interaction Potential and the Phase Shift
The validity of the on‐shell approximation for s‐wave scattering is examined across one, two, and three dimensions using exactly solvable model interaction potentials. By comparing exact and approximate s‐wave components of the interaction potential, the analysis reveals that the approximation improves with increasing momentum and decreasing ...
Francesco Lorenzi, Luca Salasnich
wiley +1 more source
Three methods for performing Hankel transforms [PDF]
Three methods for performing Hankel transforms with optical or digital processors are described. The first method is applicable when the input data is available in Cartesian (x-y) format and uses the close connection between generalized Hankel transform ...
Athale, R. A., Lee, J. N., Szu, H. H.
core +1 more source
Polynomial computation of Hankel singular values [PDF]
A revised and improved version of a polynomial algorithm is presented. It was published by N.J. Young (1990) for the computation of the singular values and vectors of the Hankel operator defined by a linear time-invariant system with a rotational ...
Kwakernaak, Huibert
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Hankel Transformation and Hankel Convolution of Tempered Beurling Distributions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belhadj, M., Betancor, J.J.
openaire +3 more sources

