
doi: 10.1155/2013/350182
By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de…fined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials. Also, we derive fractional differential equation of generalized extended Jacobi functions.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Fractional derivatives and integrals, Riemann-Liouville fractional calculus, Jacobi polynomials, fractional differential equation, QA1-939, Jacobi functions, Mathematics
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Fractional derivatives and integrals, Riemann-Liouville fractional calculus, Jacobi polynomials, fractional differential equation, QA1-939, Jacobi functions, Mathematics
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