Factorization of the hypergeometric-type difference equation on the uniform lattice.
Fourier transform of .
Four-term recurrence relations for hypergeometric functions of the second order. II.
The recent work on four-term recurrence relations for the second order functions of hypergeometric type undertaken by the author is developed from a slightly different point of view also using generating functions. The direction of future prospects is indicated.
Fractional Extensions of Jacobi Polynomials and Gauss Hypergeometric Function
2000 Mathematics Subject Classification: 26A33, 33C45This 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...
Functional Analysis, Orthogonal Polynomials And A Theorem Of Markov.