A CONFLUENT HYPERGEOMETRIC INTEGRAL TRANSFORM,
Abstract
Inversion integrals have been derived for a Gauss hypergeometric function transform. These inversions were of two types. The first or simple inversion involved no hypergeometric functions explicitly but just an iterated frac tional integral; the second or symmetric inver sion involved a hypergeometric function with one arbitrary parameter. It is to be expected that similar formulas should apply for a confluent hypergeometric function transform. Both the hypergeometric function and the confluent hypergeometric function transforms are generali zations of other transforms. The confluent transform may have interest because special cases include Bessel, Whittaker, parabolic cylinder, Hermite, and Laguerre function transforms. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1963
- Accession Number
- AD0417751
Entities
People
- T.p. Higgins
Organizations
- Boeing