3-D Analytical Model of Axial-Flux Permanent Magnet Machine With Segmented Multipole-Halbach Array
IEEE Access, 2023 This paper presents a 3-D analytical model of an axial-flux permanent magnet (AFPM) machine with a segmented multipole-Halbach PM array. Closed-form solutions are self-consistently derived in terms of modified Bessel functions of the first- and the ...
Taishi Okita, Hisako Harada
doaj +1 more source
Infinite divisibility of solutions to some self-similar integro-differential equations and exponential functionals of L\'evy processes [PDF]
, 2009 We provide the increasing eigenfunctions associated to spectrally negative self-similar Feller semigroups, which have been introduced by Lamperti. These eigenfunctions are expressed in terms of a new family of power series which includes, for instance ...
Patie, Pierre
core +2 more sources
European Journal of Pure and Applied Mathematics, 2022 A double integral whose kernel involves the Bessel functions Kv(xβ) and Jv(yα) is derived. This integral is expressed in terms of the Hurwitz-Lerch zeta function and evaluated for various values of the parameters involved. Some examples are evaluated and expressed in terms of fundamental constants. All the results in this work are new.
Robert Reynolds, Allan Stauffer
openaire +1 more source
Alexandria Engineering Journal, 2018 Analysis of unsteady hydro-magnetic viscoelastic fluid flow through an annulus (bounded by two infinite co-axial circular cylinders) has been made in presence of radiation, periodic pressure gradient and external heat source/sink.
Debasish Dey
doaj +1 more source
On determinants of modified Bessel functions and entire solutions of double confluent Heun equations [PDF]
, 2016 We investigate the question on existence of entire solutions of well-known linear differential equations that are linearizations of nonlinear equations modeling the Josephson effect in superconductivity. We consider the modified Bessel functions $I_j(x)$
Buchstaber, Victor M. +1 more
core +3 more sources
Bounds for an integral of the modified Bessel function of the first kind and expressions involving it [PDF]
Journal of Mathematical Analysis and Applications, 2021 18 ...
openaire +4 more sources
Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments [PDF]
, 2004 We describe a variety of methods to compute the functions $K_{ia}(x)$, $L_{ia}(x)$ and their derivatives for real $a$ and positive $x$. These functions are numerically satisfactory independent solutions of the differential equation $x^2 w'' +x w' +(a^2 ...
Gil, Amparo +2 more
core +4 more sources
On approximating the modified Bessel function of the first kind and Toader-Qi mean [PDF]
Journal of Inequalities and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhen-Hang Yang, Yu-Ming Chu
openaire +3 more sources
New Sharp Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean [PDF]
Mathematics, 2020 Let I v x be he modified Bessel function of the first kind of order v. We prove the double inequality sinh t t cosh 1 / q q t < I 0 t < sinh t t cosh 1 / p p t holds for t > 0 if and only if p ≥ 2 / 3 and q ≤ ln 2 / ln π .
Zhen-Hang Yang +2 more
openaire +2 more sources
Bounds for Tur\'anians of modified Bessel functions
, 2013 Motivated by some applications in applied mathematics, biology, chemistry, physics and engineering sciences, new tight Tur\'an type inequalities for modified Bessel functions of the first and second kind are deduced.
Alexandrov +58 more
core +1 more source