Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1267

 Title: Fractional Extensions of Jacobi Polynomials and Gauss Hypergeometric Function Authors: Gogovcheva, ElenaBoyadjiev, Lyubomir Keywords: Riemann–Liouville Fractional Differentiation and Integration OperatorsJacobi PolynomialsRodrigues' RepresentationFractional Jacobi FunctionsGauss Hypergeometric Differential EquationFractional Gauss Functions26A3333C45 Issue Date: 2005 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 8, No 4, (2005), 431p-438p Abstract: 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 of a fractional Gauss function, defined as a solution of the fractional generalization of the Gauss hypergeometric equation. Description: 2000 Mathematics Subject Classification: 26A33, 33C45 URI: http://hdl.handle.net/10525/1267 ISSN: 1311-0454 Appears in Collections: 2005

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