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Leopardi, are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated based on extensive computation.\u0026lt;/p\u0026gt;","descriptionType":"Abstract"},{"description":"Inequalities for the largest zero of Jacobi polynomials are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated.","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://purr.purdue.edu/publications/1570/1","contentUrl":null,"metadataVersion":8,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"mds","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":0,"citationCount":1,"citationsOverTime":[{"year":"2025","total":1}],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2014-04-22T15:42:29.000Z","registered":"2014-04-22T15:42:31.000Z","published":"2014","updated":"2025-12-18T19:41:01.000Z"},"relationships":{"client":{"data":{"id":"purdue.purduelib","type":"clients"}},"provider":{"data":{"id":"purdue","type":"providers"}},"media":{"data":{"id":"10.4231/r7ks6ph4","type":"media"}},"references":{"data":[]},"citations":{"data":[{"id":"10.1007/s11075-008-9217-4","type":"dois"}]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"data":[]},"versionOf":{"data":[]}}}}