Letessier, Jean; Valent, Galliano; Wimp, Jet Some differential equations satisfied by hypergeometric functions. (English) Zbl 0823.34009 Zahar, R. V. M. (ed.), Approximation and computation: a Festschrift in honor of Walter Gautschi. Proceedings of the Purdue conference, West Lafayette, IN, USA, December 2-5, 1993. Boston, US: Birkhäuser. ISNM, Int. Ser. Numer. Math. 119, 371-381 (1994). The authors derive some differential equations satisfied by hypergeometric functions, some of whose parameters exceed some denominator parameters by unity.For the entire collection see [Zbl 0811.00016]. Reviewer: S.D.Bajpai (Isa Town) Cited in 11 Documents MSC: 34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. 34A30 Linear ordinary differential equations and systems 33C20 Generalized hypergeometric series, \({}_pF_q\) Keywords:differential equations satisfied by hypergeometric functions PDFBibTeX XMLCite \textit{J. Letessier} et al., ISNM, Int. Ser. Numer. Math. 119, 371--381 (1994; Zbl 0823.34009) Digital Library of Mathematical Functions: §16.8(ii) The Generalized Hypergeometric Differential Equation ‣ §16.8 Differential Equations ‣ Generalized Hypergeometric Functions ‣ Chapter 16 Generalized Hypergeometric Functions and Meijer 𝐺-Function