You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Hypergeometric Functions of $2 \times 2$ Matrix Argument are Expressible in Terms of Appell's Functions $F_4$
Tom Koornwinder and Ida Sprinkhuizen-Kuyper
Proceedings of the American Mathematical Society
Vol. 70, No. 1 (Jun., 1978), pp. 39-42
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2042581
Page Count: 4
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
It is proved that the hypergeometric function of $2 \times 2$ matrix argument is expressible as a solution of the partial differential equations for Appell's function $F_4$. As a result the first-mentioned function can be written as a sum of two $F_4$-functions.
Proceedings of the American Mathematical Society © 1978 American Mathematical Society