𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Computations and applications of linear hypergeometric transformations

✍ Scribed by Edward W. Ng

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
490 KB
Volume
3
Category
Article
ISSN
0898-1221

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✦ Synopsis

Linear transformations are well-known in the theory of hypergeometric functions. In this note, it is indicated, both by analyses and by supporting numerical experiments, how these transformations can be applied to the computation of Legendre's functions, the incomplete Beta function, and the variance-ratio probability distribution function. It is shown that a simple transformation can in many cases cause dramatic improvement in computation.

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