A Representation of Jacobi Functions
نویسنده
چکیده
Recently, the continuous Jacobi transform and its inverse are defined and studied in [i] and [2]. In the present work, the transform is used to derive a series representation for the Jacobi functions Pe’) (x) -% -1/2. The case e = =0 yields a representation for the Legendre functions and has been dealt with zn [3]. When I is a positive integer n, the representation reduces to a single term, viz., the Jacobi polynomial of degree n.
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