Results 71 to 80 of about 54,823 (167)

Integral transformation solution of free-space cylindrical vector beams and prediction of modified-Bessel-Gaussian vector beams

, 2007
A unified description of the free-space cylindrical vector beams is presented, which is an integral transformation solution to the vector Helmholtz equation and the transversality condition.
Ashkin, Bandres, Biss, Chun-Fang Li, Davis, Dorn, Enderlein, Greene, Guo, Hall, Jordan, Lax, Li, Martínez-Herrero, Ruschin, Seshadri, Seshadri, Tovar, Tovar, Youngworth, Zhan   +20 more
core   +1 more source

The Generalized Incomplete Gamma Function as sum over Modified Bessel Functions of the First Kind

Journal of Computational and Applied Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A note on the asymptotics of the modified Bessel functions on the Stokes lines [PDF]

, 2017
We employ the exponentially improved asymptotic expansions of the confluent hypergeometric functions on the Stokes lines discussed by the author [Appl. Math. Sci. 7 (2013) 6601–6609] to give the analogous expansions of the modified Bessel functions Iν(z)
Paris, R. B.
core  

Properties and integral inequalities of P-superquadratic functions via multiplicative calculus with applications

Boundary Value Problems
This manuscript explores the idea of a multiplicatively P-superquadratic function and its properties. Utilizing these properties, we derive the inequalities of Hermite–Hadamard type for such functions in the framework of multiplicative calculus.
Dawood Khan, Saad Ihsan Butt, Youngsoo Seol   +2 more
doaj   +1 more source

Efficient Numerical Quadrature for Highly Oscillatory Integrals with Bessel Function Kernels

Mathematics
In this paper, we investigate efficient numerical methods for highly oscillatory integrals with Bessel function kernels over finite and infinite domains. Initially, we decompose the two types of integrals into the sum of two integrals.
Guo He, Yuying Liu
doaj   +1 more source

Summed Series Involving ₁F₂ Hypergeometric Functions

Mathematics
Summation of infinite series has played a significant role in a broad range of problems in the physical sciences and is of interest in a purely mathematical context.
Jack C. Straton
doaj   +1 more source

Exact BPS black hole microstate counting from holographic conformal quantum mechanics

Journal of High Energy Physics
In this note, we develop a prescription for describing BPS black hole microstates in terms of a holographic conformal quantum mechanics (CQM) model dual to the near-horizon AdS 2 geometry of the black hole.
Gabriel Lopes Cardoso, Suresh Nampuri
doaj   +1 more source

The Fourier–Legendre Series of Bessel Functions of the First Kind and the Summed Series Involving ₁F₂ Hypergeometric Functions That Arise from Them

Axioms
The Bessel function of the first kind JNkx is expanded in a Fourier–Legendre series, as is the modified Bessel function of the first kind INkx. The purpose of these expansions in Legendre polynomials was not an attempt to rival established numerical ...
Jack C. Straton
doaj   +1 more source

Fractional Kaiser Window With Application to Finite Impulse Response Digital Filter Design

IEEE Access
This study introduces a new adjustable window derived from the recently proposed fractional modified Bessel function of the first kind with zero order. The proposed window, referred to as the fractional Kaiser window in this study, is obtained using the ...
Kemal Avci
doaj   +1 more source

Naprężenia, przemieszczenia i temperatura w ograniczonym ośrodku sprężystym przy uwzględnieniu sprzężenia termomechanicznego

Engineering Transactions, 1968
The mass forces are disregarded in the present paper. By applying the method devised by W. Nowacki [1] partial separation of the equations of e equations of thermoelasticity is achieved by generalizing Galerkin's function to the case of thermodynamical ...
J. Stefaniak
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