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Hypergeometric summation: the algorithms of Sister Celine and R. W. Gosper, Jr. (English) Zbl 1212.01029

Beznea, Lucian (ed.) et al., Proceedings of the sixth congress of Romanian Mathematicians, Bucharest, Romania, June 28–July 4, 2007. Vol. 1: Scientific contributions. Bucharest: Editura Academiei Române (ISBN 978-973-27-1781-3/v.1; 978-973-27-1780-6/set). 599-605 (2009).
Summary: In this survey article we present the hardly known algorithms of Sister Celine Fasenmyer and R. W. Gosper, Jr., concerning definite and indefinite summation of hypergeometric sequences, respectively. Our exposition is complemented by biographical and historical information.
For the entire collection see [Zbl 1166.00017].

MSC:

01A70 Biographies, obituaries, personalia, bibliographies
33F10 Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.)

Biographic References:

Sister Celine; Gosper, R. William jun.
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