1. Theory, Methods and Applications of the Classical Hypergeometric Orthogonal Polynomial Sequences of Sheffer and Jacobi Open Access Author: Langharst, Dylan Jacob Title: Theory, Methods and Applications of the Classical Hypergeometric Orthogonal Polynomial Sequences of Sheffer and Jacobi Area of Honors: Mathematics (Behrend) Keywords: orthogonal polynomial sequencesclassical analysisLegendreHermiteLaguerreinverse methodjacobi polynomialssheffer polynomialshypergeometric functionsthree-term recursion relationSchrödinger formgenerating functionChebyshevnumerical analysisFibonacci sequence File: Download Dylan_Langharst_thesis_orthogonal.pdf Thesis Supervisors: Daniel Joseph Galiffa, Thesis SupervisorDaniel Joseph Galiffa, Thesis Honors AdvisorChuck Yeung, Faculty ReaderBoon W Ong, Faculty Reader