Partial order generalized Marcum Q-function contour integral representation

2017 ◽  
Vol 28 (11) ◽  
pp. 876-887 ◽  
Author(s):  
A. S. Gvozdarev
Keyword(s):  
Integral Representation ◽  
Partial Order ◽  
Contour Integral ◽  
Q Function

Diffraction by a perfectly conducting wedge in an anisotropic plasma

1965 ◽  
Vol 61 (3) ◽  
pp. 767-776 ◽  
Author(s):  
T. R. Faulkner
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Wave ◽  
Difference Equation ◽  
Integral Representation ◽  
Surface Waves ◽  
Uniform Magnetic Field ◽  
Anisotropic Plasma ◽  
Contour Integral ◽  
Anisotropic Dielectric

SummaryThe problem considered is the diffraction of an electromagnetic wave by a perfectly conducting wedge embedded in a plasma on which a uniform magnetic field is impressed. The plasma is assumed to behave as an anisotropic dielectric and the problem is reduced, by employing a contour integral representation for the solution, to solving a difference equation. Surface waves are found to be excited on the wedge and expressions are given for their amplitudes.

THE EIGENVECTORS OF q-DEFORMED CREATION OPERATOR $a_q^+$ AND THEIR PROPERTIES

1995 ◽  
Vol 10 (08) ◽  
pp. 669-675
Author(s):  
GUOXIN JU ◽  
JINHE TAO ◽  
ZIXIN LIU ◽  
MIAN WANG
Keyword(s):  
Integral Representation ◽  
Creation Operator ◽  
Contour Integral ◽  
Root Of Unity

The eigenvectors of q-deformed creation operator [Formula: see text] are discussed for q being real or a root of unity by using the contour integral representation of δ function. The properties for the eigenvectors are also discussed. In the case of qp = 1, the eigenvectors may be normalizable.

Contour integral representation of the on-shell T matrix

1988 ◽  
Vol 66 (9) ◽  
pp. 791-795
Author(s):  
Helmut Kröger
Keyword(s):  
Numerical Calculation ◽  
Integral Representation ◽  
Short Range ◽  
Reference Value ◽  
Potential Scattering ◽  
Contour Integral ◽  
Body System ◽  
T Matrix ◽  
Body Potential ◽  
Separable Interaction

We suggest a contour integral representation for the on-shell T matrix in nonrelativistic N-body potential scattering with strong short range interactions. Results of a numerical calculation in the two-body system using a short range separable interaction of the Yamaguchi type are presented and show fast convergence towards the reference value.

scholarly journals The error bounds of Gauss-Lobatto quadratures for weights of Bernstein-Szegö type

2019 ◽  
Vol 13 (3) ◽  
pp. 733-745
Author(s):  
Rada Mutavdzic ◽  
Aleksandar Pejcev ◽  
Miodrag Spalevic
Keyword(s):  
Integral Representation ◽  
Error Bounds ◽  
Remainder Term ◽  
Contour Integral ◽  
Quadrature Formulas

In this paper, we consider the Gauss-Lobatto quadrature formulas for the Bernstein-Szeg? weights, i.e., any of the four Chebyshev weights divided by a polynomial of the form ?(t) = 1-4?/(1+?)2 t2, where t ?(-1,1) and ? ? (-1,0]. Our objective is to study the kernel in the contour integral representation of the remainder term and to locate the points on elliptic contours where the modulus of the kernel is maximal. We use this to derive the error bounds for mentioned quadrature formulas.

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