An ubiquitous three-term recurrence relation
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0018221
Abstract: We solve an eigenvalue equation that appears in several papers about a wide range of physical problems. The Frobenius method leads to a three-term recurrence relation for the coefficients of the power series that, under… read more here.
Keywords: recurrence relation; three term; term recurrence;
Evaluation of Legendre polynomials by a three-term recurrence in floating-point arithmetic
Sign Up to like & getrecommendations! Published in 2018 at "IMA Journal of Numerical Analysis"
DOI: 10.1093/imanum/dry079
Abstract: We prove new error estimates for a three-term recurrence that is used to compute Legendre polynomials. To this end we derive a bilinear representation of the cross-product of Legendre functions and demonstrate estimates of the… read more here.
Keywords: three term; legendre polynomials; recurrence; term recurrence ... See more keywords
Significance of MCP-1 in predicting the short-term recurrence of primary intussusception in children: An observational study
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DOI: 10.1097/md.0000000000030743
Abstract: To evaluate the relationship between the expression level of (MCP-1) in peripheral blood and the short-term recurrence of primary intussusception in children, a retrospective analysis of children with primary intussusception under ultrasound-guided hydrostatic reduction in… read more here.
Keywords: intussusception; term recurrence; recurrence; mcp ... See more keywords
Germline PRDM1 Variant rs2185379 in Long-Term Recurrence-Free Survivors of Advanced Ovarian Cancer
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DOI: 10.2147/pgpm.s387120
Abstract: Purpose To identify the germline genetic characteristics of long-term recurrence-free survivors that can be applied to establishing a new strategy for curing advanced cancer, we investigated the whole-genome single nucleotide variants of ovarian cancer patients.… read more here.
Keywords: long term; term recurrence; recurrence; rs2185379 ... See more keywords
Immunohistochemical markers predicting long-term recurrence following clival and spinal chordoma resection: a multicenter study
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DOI: 10.3171/2023.3.focus22653
Abstract: Chordomas are rare tumors from notochordal remnants and account for 1%–4% of all primary bone malignancies, often arising from the clivus and sacrum. Despite margin-negative resection and postoperative radiotherapy, chordomas often recur. Further, immunohistochemical (IHC)… read more here.
Keywords: long term; term recurrence; recurrence; resection ... See more keywords
Raising of Anillin expression in para-cancerous hepatocytes is associated with hepatic depolyploidization and short-term recurrence of hepatocellular carcinoma after radical operation
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Cancer"
DOI: 10.7150/jca.72890
Abstract: Background: Short-term recurrence of hepatocellular carcinoma (HCC) after radical operation results in poor prognosis and short overall survival period. Assessment of the post-operational recurrence risk could provide an advantage for preventing lethal progress by assisting… read more here.
Keywords: term recurrence; expression; para; para cancerous ... See more keywords