Interlacing of zeros of orthogonal polynomials under modification of the measure

We investigate the mutual location of the zeros of two families of orthogonal polynomials. One of the families is orthogonal with respect to the measure dμ (x), supported on the interval (a, b) and the other with respect to the measure |x -c|τ|x -d|γdμ (x), where c and d are outside (a, b) We prove that the zeros of these polynomials, if they are of equal or consecutive degrees, interlace when either 0 < τ, γ ≤ 1 or γ = 0 and 0 < τ ≤ 2. This result is inspired by an open question of Richard Askey and it generalizes recent results on some families of orthogonal polynomials. Moreover, we obtain further statements on interlacing of zeros of specific orthogonal polynomials, such as the Askey-Wilson ones. © 2013 Elsevier Inc.

Diagnose de falhas em sistemas rotativos com excitações desconhecidas, através da metodologia dos observadores de estado

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

Scattered organization of the histone multigene family and transposable elements in Synbranchus

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Dynamical evolution of V-type asteroids in the central main belt

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

Physiological Parameters in Neonatal Lambs of the Bergamasca Breed

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

Structure and post-translational modifications of the web silk protein spidroin-1 from Nephila spiders

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

Using Proteomic Strategies for Sequencing and Post-Translational Modifications Assignment of Antigen-5, a Major Allergen from the Venom of the Social Wasp Polybia paulista

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

Progesterone as a morphological regulatory factor of the male and female gerbil prostate

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

First cytogenetic characterization of the giant Amazonian catfish Brachyplatystoma filamentosum (Siluriformes, Pimelodidae)

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

Similarity of heterochromatic regions in the stingless bees (Hymenoptera: Meliponini) revealed by chromosome painting

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

Detection of chromosomal bla(CTX-M-2) in diverse Escherichia coli isolates from healthy broiler chickens

The rise of extended-spectrum beta-lactamase (ESBL)-producing Escherichia coli in food-producing animals is a growing concern for public health. We investigated ESBL producers isolated from broiler chickens in Brazil and characterized 19 CTX-M-2-producing E.coli. The ISCR1 was detected upstream of the chromosome-located gene bla(CTX-M-2), associated with sul-1 type integron structure. CTX-M-2-producing E.coli exhibited different PFGE-types and phylogenetic groups, showing a non-clonal dissemination. The sequence types found (ST93, ST155 and ST2309) have been associated with humans and animals worldwide. Herein, we report the chromosomal location of bla(CTX-M-2) on E.coli, highlighting the risks of multidrug-resistant bacteria in food-producing animals.

Determination of equine fetal sex by Doppler ultrasonography of the gonads

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

Functional morphology of the reproductive system and sperm transfer in Stenopus hispidus (Crustacea: Decapoda: Stenopodidea), and their relation to the mating system

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Assessment of CT numbers in limited and medium field-of-view scans taken using Accuitomo 170 and Veraviewepocs 3De cone-beam computed tomography scanners

To assess the influence of anatomic location on the relationship between computed tomography (CT) number and X-ray attenuation in limited and medium field-of-view (FOV) scans. Materials and Methods Tubes containing solutions with different concentrations of K2HPO4 were placed in the tooth sockets of a human head phantom. Cone-beam computed tomography (CBCT) scans were acquired, and CT numbers of the K2HPO4 solutions were measured. The relationship between CT number and K2HPO4 concentration was examined by linear regression analyses. Then, the variation in CT number according to anatomic location was examined. Results The relationship between K2HPO4 concentration and CT number was strongly linear. The slopes of the linear regressions for the limited FOVs were almost 2-fold lower than those for the medium FOVs. The absolute CT number differed between imaging protocols and anatomic locations. Conclusion There is a strong linear relationship between X-ray attenuation and CT number. The specific imaging protocol and anatomic location of the object strongly influence this relationship.

Morphological aspects of Henneguya aequidens n. sp (Myxozoa: Myxobolidae) in Aequidens plagiozonatus Kullander, 1984 (Teleostei: Cichlidae) in the Amazon region, Brazil

A new species of Myxosporea, Henneguya aequidens sp. n. (Myxozoa: Myxobolidae), was described based on its ultrastructural features. This is a parasite of the freshwater fish Aequidens plagiozonatus, in the Peixe-boi River, Para, Brazil. This parasite was found in the gills, in the form of whitish ellipsoid cysts with mature spores inside them. The average spore body was 15 +/- 0.9 mu m in length (n = 30) and 6 +/- 0.8 mu m in width (n = 30), and the tail measured 27 +/- 0.5 mu m in length (n = 15). The spores showed typical features of the genus Henneguya with two valves of equal size and two symmetrical polar capsules of 3 +/- 0.3 mu m in length and 2 +/- 0.3 mu m in width. Each polar capsule had a polar filament forming a helix from the apical region to the polar caps, with four to six turns. Based on the ultrastructural differences in morphology of these spores, the location of the parasite, and its host specificity, this parasite was described as a new species.