Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic …

E Kaslik, S Sivasundaram - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
Using the Mellin transform approach, it is shown that, in contrast with integer-order
derivatives, the fractional-order derivative of a periodic function cannot be a function with the …

The Dekel-Zhao profile: A mass-dependent dark-matter density profile with flexible inner slope and analytic potential, velocity dispersion, and lensing properties

J Freundlich, F Jiang, A Dekel… - Monthly Notices of …, 2020 - academic.oup.com
We explore a function with two shape parameters for the dark-matter halo density profile
subject to baryonic effects, which is a special case of the general Zhao family of models …

Physical modeling of dynamic coupling between chromosomal loci

TJ Lampo, AS Kennard, AJ Spakowitz - Biophysical journal, 2016 - cell.com
The motion of chromosomal DNA is essential to many biological processes, including
segregation, transcriptional regulation, recombination, and packaging. Physical …

Analytical expressions for the deprojected Sérsic model

M Baes, G Gentile - Astronomy & Astrophysics, 2011 - aanda.org
The Sérsic model has become the standard for parametrizing the surface brightness
distribution of early-type galaxies and bulges of spiral galaxies. A major problem is that the …

[HTML][HTML] On the constants for some fractional Gagliardo–Nirenberg and Sobolev inequalities

C Morosi, L Pizzocchero - Expositiones Mathematicae, 2018 - Elsevier
We consider the inequalities of Gagliardo–Nirenberg and Sobolev in R d, formulated in
terms of the Laplacian Δ and of the fractional powers D n≔− Δ n with real n⩾ 0; we review …

Statistical analysis of multilook polarimetric radar images with the Mellin transform

SN Anfinsen - 2010 - munin.uit.no
This thesis presents methods for statistical analysis of the probability distributions used to
model multilook polarimetric radar images. The methods are based on a matrix-variate …

[图书][B] Complex Variables and Analytic Functions: An Illustrated Introduction: Complex Variables and Analytic Functions: An Illustrated Introduction

B Fornberg, C Piret - 2019 - SIAM
The topics of Complex Variables and Analytic Functions are of fundamental importance not
only in pure mathematics, but also throughout applied mathematics, physics, and …

Generalized Heisenberg algebra coherent states for power-law potentials

K Berrada, M El Baz, Y Hassouni - Physics Letters A, 2011 - Elsevier
Coherent states for power-law potentials are constructed using generalized Heisenberg
algebras. Klauder's minimal set of conditions required to obtain coherent states are satisfied …

Performance Analysis of Wireless Powered DF Relay System Under Nakagami- Fading

P Kumar, K Dhaka - IEEE Transactions on Vehicular …, 2018 - ieeexplore.ieee.org
In this paper, we analyze the average symbol error rate (SER) for a wireless powered three-
node decode-and-forward (DF) relaying system in Nakagami-fading environment.-ary phase …

[HTML][HTML] Rapidly convergent series and closed-form expressions for a class of integrals involving products of spherical Bessel functions

G Lovat, S Celozzi - Journal of Computational and Applied Mathematics, 2024 - Elsevier
Rapidly convergent series are derived to efficiently evaluate a class of integrals involving the
product of spherical Bessel functions of the first kind occurring in acoustic and …