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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].

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, \({}_pF_q\)
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