A new transformation for computing hypergeometric series and the exact evaluation of the transonic adiabatic flow over a smooth bump
The evaluation of the hypergeometric functions has always been a main problem of the computation of isentropic compressible flows by hodograph method, particularly because of the ill-conditioning of the involved series. In this work a new approach based on a generalized Euler transformation is established and its efficiency is verified by computing the exact transonic flow over a smooth bump. This flow is also a new one and could be profitably used as a test for operational computer codes.
scientific article; zbMATH DE number 4087271