Experimental evidence of transfer of orbital angular momentum of multiringed beams to dielectric particles has been reported recently [e.g., J. Opt. B 4, S82 (2002); Phys. Rev. Lett. 91, 093602 (2003)]. Here we present a detailed theoretical examination of the forces involved in trapping and transferring orbital angular momentum to microparticles due to a multiringed light beam, particularly a ...

Some estimates are proved for the generalized Fourier-Bessel transform in the space (L^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.

In this paper we shall study the problem of the (q, h)-discretization (generalization) of ladder operators. We shall present a few illustrative and important examples including the Weber, Bessel and Laguerre ladders and their (q, h)-analogues. AMS Subject Classifications: 39A10, 81S05.

In this paper, we investigate via an asymptotic method the opening of gaps in spectrum a stiff problem for Laplace operator ?? R2 perforated by contiguous circular holes. The density and stiffness constants are order ??2m ??1 holes with m?(0,1/2). We provide explicit expression leading terms eigenvalues corresponding eigenfunctions which related to Bessel functions first kind.

This paper consists of three parts. In part I, we microscopically derive Ginzburg– Landau (GL) theory from BCS theory for translation-invariant systems in which multiple types of superconductivity may coexist. Our motivation are unconventional superconductors. We allow the ground state of the effective gap operator KTc + V to be n-fold degenerate and the resulting GL theory then couples n order...

In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A operator (FIO) with non-singular function (multi-index Bessel function) as its kernel monotone increasing functions is utilized to obtain the such Our derived results are form several proven inequalities already existing in literature. The useful for studying stabili...

The singular value decomposition going with many problems in medical imaging, non-destructive testing, geophysics, is of central importance. Unfortunately the effective numerical determination functions question a very ill-posed problem. best known remedy to this problem goes back work D. Slepian, H.Landau and H. Pollak, Bell Labs 1960-1965. We show that master symmetries Korteweg-de Vries equa...