Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635835 | Applied Mathematics and Computation | 2007 | 11 Pages |
Abstract
This paper refers to a fractional extension of the classical Jacobi polynomials. A fractional order Rodrigues' type representation formula is considered. By means of the Riemann-Liouville operator of fractional calculus, new g-Jacobi functions are defined, some of their properties are given and compared with the corresponding properties of the classical Jacobi polynomials. Furthermore, the hypergeometric equation of Gauss is extended to a fractional order. A new F-Gauss hypergeometric function is defined as a solution to the extended fractional differential equation and considered as a candidate for a fractional hypergeometric function of Gauss.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
S.P. Mirevski, L. Boyadjiev, R. Scherer,