Asymptotics for Gegenbauer-Sobolev orthogonal polynomials associated with non-coherent pairs of measures

Inner products of the type < f, g >(S) = < f, g >psi(0) + < f', g'>psi(1), where one of the measures psi(0) or psi(1) is the measure associated with the Gegenbauer polynomials, are usually referred to as Gegenbauer-Sobolev inner products. This paper deals with some asymptotic relations for the orthogonal polynomials with respect to a class of Gegenbauer-Sobolev inner products. The inner products are such that the associated pairs of symmetric measures (psi(0), psi(1)) are not within the concept of symmetrically coherent pairs of measures.

Zeros of Gegenbauer-Sobolev Orthogonal Polynomials: Beyond Coherent Pairs

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

SZEGO POLYNOMIALS FROM HYPERGEOMETRIC FUNCTIONS

Szego polynomials with respect to the weight function w(theta) = e(eta theta)[sin(theta/2)](2 lambda), where eta, lambda is an element of R and lambda > -1/2 are considered. Many of the basic relations associated with these polynomials are given explicitly. Two sequences of para-orthogonal polynomials with explicit relations are also given.

BASIC HYPERGEOMETRIC FUNCTIONS and ORTHOGONAL LAURENT POLYNOMIALS

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A Characterization of L-orthogonal Polynomials from Three Term Recurrence Relations

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Characterization of a cellulase-free xylanase producing Bacillus sp for biobleaching of kraft pulp

Application of the xylanase in the pulp bleaching process has been shown to be effective in decreasing the amount of chlorinating agents in the process and improving the brightness of the pulp. The use of thermostable cellulase-free xylanase might enhance both the technical and economic feasibility of the process. In this work an alkalophylic strain of Bacillus sp 77-2, was isolated which showed a high production of xylanase and free cellulases. The xylanase of Bacillus sp displayed an optimum pH of 6.0 (with 70% activity at pH 9.0), all optimum temperature of 60 degrees C, pH stability in the range 5-10 and thermal stability of 50 degrees C. These characteristics are important to the kraft pulp bleaching because they are similar to those found in the industrial paper environment.

The Wigner function associated with the Rogers-Szego polynomials

A Wigner function associated with the Rogers-Szego polynomials is proposed and its properties are discussed. It is shown that from such a Wigner function it is possible to obtain well-behaved probability distribution functions for both angle and action variables, defined on the compact support -pi less than or equal to theta < pi, and for m greater than or equal to 0, respectively. The width of the angle probability density is governed by the free parameter q characterizing the polynomials.

A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Comparative study of wax glands in four Meliponini bees (Hymenoptera, Apidae) producing different quantities of wax

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Occurrence of non-O157 Shiga toxin-producing Escherichia coli in dogs with diarrhea

Escherichia coli Shiga toxigênica (STEC) e E. coli Attaching- effacing (AEEC) têm sido associadas à doença diarréica em cachorros. Entre janeiro e dezembro de 2006, 92 cepas de E. coli isoladas de 25 cachorros diarréicos foram examinadas. As cepas foram analisadas para a detecção dos genes produtores de Shiga toxina (stx 1 e stx 2) e da intimina (eae). Por meio de PCR foi observado que sete cepas (7,6%) portavam o gene stx 1, cinco cepas (5,4%) carregavam o gene stx 2 e nenhum cepa apresentou ambos os genes associados. Nove cepas de E. coli (9,8%) apresentaram o gene eae isoladamente. Treze das cepas (62,0%) que apresentaram os genes stx ou eae também apresentaram a produção de a hemolisina. As cepas que apresentaram genes de virulência foram também examinadas em relação à resistência a 12 agentes antimicrobianos. As resistências mais comuns foram para cefalotina (85,7%), estreptomicina (81,0%), amoxicilina (71,4%) e gentamicina (71,4%).

The incidence of Shiga toxin-producing Escherichia coli in cattle with mastitis in Brazil

Aims: To determine the prevalence and molecular characteristics of Shiga toxin-producing Escherichia coli (STEC) isolates from bovine mastitic milk in Brazil.Methods and Results: A total of 2144 milk samples from dairy cattle showing mastitis were screened for the presence of E. coli. A total of 182 E. coli isolates were selected and examined. All were subjected to dot blot analysis using the CVD419 probe for the detection of the enterohaemolysin (hly) gene, and to a multiplex PCR for the detection of stx1, stx2 and eaeA genes. STEC were isolated from 22 (12.08%) milk samples. All the STEC isolates were tested for sensibility to 10 antimicrobials; the resistances most commonly observed were to cephalothin (86.3%), tetracycline (63.6%) and doxycycline (63.6%).Conclusion: STEC isolates were found in bovine mastitic milk in Brazil.Significance and Impact of the Study: STEC isolates from mastitic milk were potentially pathogenic for human in that they belonged to serogroups associated with diarrhoea and haemolytic-uraemic syndrome, some of them were stx2, eaeA and hly positive.

Szego polynomials: some relations to L-orthogonal and orthogonal polynomials

We consider the real Szego polynomials and obtain some relations to certain self inversive orthogonal L-polynomials defined on the unit circle and corresponding symmetric orthogonal polynomials on real intervals. We also consider the polynomials obtained when the coefficients in the recurrence relations satisfied by the self inversive orthogonal L-polynomials are rotated. (C) 2002 Elsevier B.V. B.V. All rights reserved.

SYMMETRICAL ORTHOGONAL POLYNOMIALS AND THE ASSOCIATED ORTHOGONAL L-POLYNOMIALS

We show how symmetric orthogonal polynomials can be linked to polynomials associated with certain orthogonal L-polynomials. We provide some examples to illustrate the results obtained Finally as an application, we derive information regarding the orthogonal polynomials associated with the weight function (1 + kx(2))(1 - x(2))(-1/2), k > 0.