Hypergeometric functions of $2\times 2$ matrix argument are expressible in terms of Appel’s functions $F_{4}$
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- by Tom Koornwinder and Ida Sprinkhuizen-Kuyper PDF
- Proc. Amer. Math. Soc. 70 (1978), 39-42 Request permission
Abstract:
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.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 70 (1978), 39-42
- MSC: Primary 33A30
- DOI: https://doi.org/10.1090/S0002-9939-1978-0473251-6
- MathSciNet review: 0473251