{"title":"关于复系数多项式零点的 \"不完全 \"帕尔型插值问题","authors":"Poornima Tiwari , A.K. Pathak","doi":"10.1016/j.exco.2023.100132","DOIUrl":null,"url":null,"abstract":"<div><p>We termed the Pál type interpolation problem as PTIP. Here we studied the regularity of <span><math><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></math></span>-PTIP and <span><math><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>)</mo></mrow></math></span>-PTIP, where we omitted a real or complex node from a set of zeros of polynomials with complex coefficients.</p></div>","PeriodicalId":100517,"journal":{"name":"Examples and Counterexamples","volume":"5 ","pages":"Article 100132"},"PeriodicalIF":0.0000,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2666657X23000344/pdfft?md5=31254183438f8f7872d17f7a05aaaad5&pid=1-s2.0-S2666657X23000344-main.pdf","citationCount":"0","resultStr":"{\"title\":\"‘Incomplete’ Pál type interpolation problems on zeros of polynomials with complex coefficients\",\"authors\":\"Poornima Tiwari , A.K. Pathak\",\"doi\":\"10.1016/j.exco.2023.100132\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We termed the Pál type interpolation problem as PTIP. Here we studied the regularity of <span><math><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></math></span>-PTIP and <span><math><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>)</mo></mrow></math></span>-PTIP, where we omitted a real or complex node from a set of zeros of polynomials with complex coefficients.</p></div>\",\"PeriodicalId\":100517,\"journal\":{\"name\":\"Examples and Counterexamples\",\"volume\":\"5 \",\"pages\":\"Article 100132\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2666657X23000344/pdfft?md5=31254183438f8f7872d17f7a05aaaad5&pid=1-s2.0-S2666657X23000344-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Examples and Counterexamples\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666657X23000344\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Examples and Counterexamples","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666657X23000344","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
‘Incomplete’ Pál type interpolation problems on zeros of polynomials with complex coefficients
We termed the Pál type interpolation problem as PTIP. Here we studied the regularity of -PTIP and -PTIP, where we omitted a real or complex node from a set of zeros of polynomials with complex coefficients.