FRACTIONAL INTEGRAL OPERATORS AND A HYPER GEOMETRIC FUNCTION TRANSFORM,
Abstract
The representation of the Gauss hypergeometric function as a fractional integral is used to derive a hypergeometric function transform and its inversion. The integral operator approach makes the derivation of both the symmetric and the simple forms for inversion quite direct. A special case, the Jacobi transform, is given for both cases, and the reduction is also made to a Legendre function transform to obtain the symmetric inversion as well as one which is equivalent to the known simple one. The simple inversion might well be called the best inver sion since the primary use of the symmetric inversion is verification of previous work derived by different methods. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1963
- Accession Number
- AD0413087
Entities
People
- T.p. Higgins
Organizations
- Boeing