On a polynomial transformation of hypergeometric equations, Heun's differential equation and exceptional Jacobi polynomials

Abstract

This paper addresses a general method of polynomial transformation of hypergeometric equations. Examples of some classical special equations of mathematical physics are generated. Heun's equation and exceptional Jacobi polynomials are also treated.

References in corpus (4)

• An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
• Infinitely many shape invariant potentials and new orthogonal polynomials
• Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry
• Properties of the Exceptional ($X_{\ell }$) Laguerre and Jacobi Polynomials

Cited by in corpus (2)

• Special functions associated with positive linear operators
• Physical Problems Admitting Heun-to-Hypergeometric Reduction