{"id":{"repo_id":"ohiolink","oai_identifier":"oai:etd.ohiolink.edu:osu1365772575"},"canonical_url":"https://search.dev.ndltd.org/etd/ohiolink/oai:etd.ohiolink.edu:osu1365772575","repository":{"repo_id":"ohiolink","name":"OhioLINK","base_url":"https://etd.ohiolink.edu/acprod/odb_etd/ws/oai/oai"},"display":{"title":"Rodrigues Formula for Jacobi Polynomials on the Unit Circle","abstract":"We begin by discussing properties of orthogonal polynomials on a Borel measurable subset of the complex plane. Then we focus on Jacobi polynomials and give a formula (analogous to the one discovered by R. D. Costin) for finding Jacobi polynomials on the unit circle. Finally, we consider some examples of Jacobi polynomials and demonstrate different methods of discovering them.","abstract_html":"We begin by discussing properties of orthogonal polynomials on a Borel measurable subset of the complex plane. Then we focus on Jacobi polynomials and give a formula (analogous to the one discovered by R. D. 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Finally, we consider some examples of Jacobi polynomials and demonstrate different methods of discovering them."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf","339.3 KB"]},{"key":"dc:title","label":"Title","values":["Rodrigues Formula for Jacobi Polynomials on the Unit Circle"]}]}],"canonical_facts":{"dc:contributor":["Costin, Rodica"],"dc:creator":["Reiner-Roth, Griffin"],"dc:date":["2013-07-23"],"dc:description":["We begin by discussing properties of orthogonal polynomials on a Borel measurable subset of the complex plane. Then we focus on Jacobi polynomials and give a formula (analogous to the one discovered by R. D. Costin) for finding Jacobi polynomials on the unit circle. 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