Fractional Extensions of Jacobi Polynomials and Gauss Hypergeometric Function
2000 Mathematics Subject Classification: 26A33, 33C45 This paper refers to a fractional order generalization of the classical Jacobi polynomials. Rodrigues’ type representation formula of fractional order is considered. By means of the Riemann–Liouville operator of fractional calculus fractional Jacobi functions are defined, some of their properties are given and compared with the corresponding properties of the classical Jacobi polynomials. These functions appear as a special case...