Results 41 to 50 of about 92,555 (240)

On polynomials connected to powers of Bessel functions

open access: yes, 2013
The series expansion of a power of the modified Bessel function of the first kind is studied. This expansion involves a family of polynomials introduced by C. Bender et al. New results on these polynomials established here include recurrences in terms of
Moll, Victor H., Vignat, C.
core   +2 more sources

Asymptotic estimates of the difference of products of Bessel functions by the integral of these functions

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
In the study of direct and inverse problems of finding the right-hand side of degenerate equations of mixed type with different boundary conditions, the problem arises of establishing asymptotic estimates for the differences of the products of ...
Kamil Basirovich Sabitov
doaj   +1 more source

Muon-electron backward scattering: a prime example for endpoint singularities in SCET

open access: yesJournal of High Energy Physics, 2022
We argue that energetic muon-electron scattering in the backward direction can be viewed as a template case to study the resummation of large logarithms related to endpoint divergences appearing in the effective-theory formulation of hard-exclusive ...
Guido Bell   +2 more
doaj   +1 more source

Accurate analytic approximation to the Modified Bessel function of Second Kind K 0(x)

open access: yesResults in Physics, 2022
Two analytic approximations have been determined for the modified Bessel functions of second kind K0(x), good for either positive or negative values of x.
Pablo Martin, Fernando Maass
doaj   +1 more source

Three tests of general relativity via Fermat's principle and the phase of Bessel functions

open access: yes, 2003
Fermat's principle applied to a flat metric in the plane yields the phase of a Bessel function in the periodic domain for a constant index of refraction.
B.H. Lavenda   +14 more
core   +1 more source

Bessel function expansions of Coulomb wave functions [PDF]

open access: yes, 1985
From the convergence properties of the expansion of the function Φ_l∝r^(−l−1)F_l in powers of the energy, we successively obtain the expansions of F_l and G_l as single series of modified Bessel functions I_(2l+1+n) and K_(2l+1+n), respectively, as well ...
Humblet, J.
core   +1 more source

Unified Bessel, Modified Bessel, Spherical Bessel and Bessel-Clifford Functions

open access: yes, 2016
In the present paper, unification of Bessel, modified Bessel, spherical Bessel and Bessel-Clifford functions via the generalized Pochhammer symbol [ Srivastava HM, Cetinkaya A, K ymaz O. A certain generalized Pochhammer symbol and its applications to hypergeometric functions.
Yaşar, Banu Yılmaz   +1 more
openaire   +2 more sources

Green's function for the lossy wave equation

open access: yesRevista Brasileira de Ensino de Física
Using an integral representation for the first kind Hankel (Hankel-Bessel Integral Representation) function we obtain the so-called Basset formula, an integral representation for the second kind modified Bessel function.
R. Aleixo, E. Capelas de Oliveira
doaj   +1 more source

Viscoelastic fluid flow through an annulus with relaxation, retardation effects and external heat source/sink

open access: yesAlexandria 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

Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application

open access: yesComplexity, 2021
In this paper, authors prove new variants of Hermite–Jensen–Mercer type inequalities using ψ–Riemann–Liouville fractional integrals with respect to another function via convexity.
Saad Ihsan Butt   +4 more
doaj   +1 more source

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