Koornwinder, Tom; Sprinkhuizen-Kuyper, Ida Hypergeometric functions of \(2\times 2\) matrix argument are expressible in terms of Appell’s functions \(F_4\). (English) Zbl 0394.33004 Proc. Am. Math. Soc. 70, 39-42 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 1 Document MSC: 33C05 Classical hypergeometric functions, \({}_2F_1\) 15A15 Determinants, permanents, traces, other special matrix functions Keywords:Hypergeometric Functions; Asymptotic Expansions of Incomplete Lipschitz- Hankel Integrals; Appell’s Functions; Matrix Argument Citations:Zbl 0388.33007; Zbl 0225.62078 PDFBibTeX XMLCite \textit{T. Koornwinder} and \textit{I. Sprinkhuizen-Kuyper}, Proc. Am. Math. Soc. 70, 39--42 (1978; Zbl 0394.33004) Full Text: DOI Digital Library of Mathematical Functions: §35.7(ii) Basic Properties ‣ §35.7 Gaussian Hypergeometric Function of Matrix Argument ‣ Properties ‣ Chapter 35 Functions of Matrix Argument