Duplication inequalities for the ratios of hypergeometric functions

Porcine circovirus type 2 (PCV2) is closely related to the postweaning multisystemic wasting syndrome (PMWS). In this study, the pig serum and tissue samples collected from different regions of Hangzhou District in Zhejiang Province of China between 2003 and 2005 were analyzed by enzyme-linked immunosorbent assay (ELISA) for PCV2 antibody and by polymerase chain reaction (PCR) for ORF2 gene. The results show that out of 1250 randomly collected serum samples, 500 sera (40%) were seropositive for PCV2. PCR results demonstrate that Hangzhou PCV2 with more than 50% Chinese PCV2 strains and French PCV2 formed Cluster A. Only one PCV2 from Hangzhou belonged to Cluster B with some other Chinese PCV2 and Netherlands's isolates. Cluster C consisted of PCV2 isolates from China, US, Canada, UK and Germany. The results indicate that the PCV2 infection was widespread in Hangzhou.

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“…(5) The asymptotic formulas for the gamma, psi and polygamma functions: as x → ∞, ). (7) The Bernoulli polynomial B n (x) is defined by…”

Section: Andmentioning

confidence: 99%

“…on (0, 1) was proved (see [3]). More of such examples can be seen in [4], [5], [6], [7,Lemma 2.14], [8], [9], [10,Lemma 3.5], [11], [12]. Fortunately, several properties of R (a, 1 − a), B (a, 1 − a) and their combinations have been discovered, which can be summarized as the following three aspects:…”

Section: Introductionmentioning

confidence: 99%