Wilson function transforms related to Racah coefficients

The irreducible $*$-representations of the Lie algebra $su(1,1)$ consist of discrete series representations, principal unitary series and complementary series. We calculate Racah coefficients for tensor product representations that consist of at least two discrete series representations. We use the explicit expressions for the Clebsch-Gordan coefficients as hypergeometric functions to find explicit expressions for the Racah coefficients. The Racah coefficients are Wilson polynomials and Wilson functions. This leads to natural interpretations of the Wilson function transforms. As an application several sum and integral identities are obtained involving Wilson polynomials and Wilson functions. We also compute Racah coefficients for U_q(\su(1,1)), which turn out to be Askey-Wilson functions and Askey-Wilson polynomials.Comment: 48 page

Final report Task Order Number B239641 between the Regents of the University of California and Institute of Experimental Physics task 1: Conceptual design. Part 1

The current worldwide developmental status of high power lasers and pumping systems for laser ignition facilities is presented. Design philosophies of pulsed power systems for laser fusion (LF) research facilities are discussed. A conceptual design of the facility pulsed power systems is discussed in detail. In conclusion, a thorough analysis of current worldwide LF research is given

Modern methods for diagnosis of Gardnerella infection

Comparison of morphological, bacteriological, serological, and genetic methods for diagnosis of Gardnerella infection in vaginosis showed that the first three methods are preferable, while the genetic method (polymerase chain reaction) is more efficient for identification of Gardnerella vaginalis in culture. © 2000 Kluwer Academic/Plenum Publishers

Modern methods for diagnosis of Gardnerella infection

Comparison of morphological, bacteriological, serological, and genetic methods for diagnosis of Gardnerella infection in vaginosis showed that the first three methods are preferable, while the genetic method (polymerase chain reaction) is more efficient for identification of Gardnerella vaginalis in culture. © 2000 Kluwer Academic/Plenum Publishers

Multifunctional synchrotron spectrometer of the National Research Center “Kurchatov Institute": I. EXAFS in dispersive mode

The improved X-ray optical scheme, the system of registration, and the measurement procedure of the multifunctional synchrotron radiation spectrometer in the dispersive EXAFS mode are described. The results of the spectrometer energy resolution measurements are given. The advantages and disadvantages of traditional and dispersive EXAFS spectrometers are analyzed. Examples of EXAFS spectra measured in the dispersive mode are given