Results 61 to 70 of about 22,462 (245)

A Study on the k-Mersenne and k-Mersenne-Lucas Sequences

open access: yesUniversal Journal of Mathematics and Applications
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

Analytical Solution of a Fractional Model of Fluid Flow Through Narrowing System in Terms of Mittag-Leffler Function

open access: yesInternational Journal of Applied Mechanics and Engineering, 2020
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

open access: yes, 2016
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

Topological phase structures of conical refraction beams: expanding orbital angular momentum applications for nanoscale biosensing

open access: yesNanophotonics, Volume 14, Issue 24, Page 4447-4457, December 2025.
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

Dirichlet type boundary value problem for an elliptic equation with three singular coefficients in the first octant

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
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

open access: yes, 2016
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

open access: yesAnnalen der Physik, Volume 537, Issue 11, November 2025.
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]

open access: yes
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]

open access: yes, 1992
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
core   +1 more source

Hankel Transformation and Hankel Convolution of Tempered Beurling Distributions

open access: yesRocky Mountain Journal of Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belhadj, M., Betancor, J.J.
openaire   +3 more sources

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