- Published 2002 in Programming and Computer Software

Simultaneous use of general and special linear transformations allows 36 transformations for the Appel function F 4 to be obtained. This result is important because F 4 is widely used in physics and mathematics. The transformations express F 4 in terms of the Appel functions F 1, F 2, and F 3; the Horn function H 2; and non-Hornian series G, K, and Γ. Until now, it was not possible to obtain “linear multiplets” having such a large dimensionality. A program based on Maple V4 was developed for formula generation. Details of program operation and possible applications of the results obtained are discussed.

@article{Paramonova2002ComputerAidedAO,
title={Computer-Aided Analysis of Transformation Formulas for Appel and Horn Functions},
author={O. S. Paramonova and Anton Niukkanen},
journal={Programming and Computer Software},
year={2002},
volume={28},
pages={70-75}
}