447 Instances of Hypergeometric 3F2(1)

Details 447 Instances of Hypergeometric 3F2(1) 447 Instances of Hypergeometric 3F2(1)

2011-05-13

arxiv.org/abs/1105.3126v1

Mathematics

Classical Analysis and ODEs

8 pages plus 7 Appendices including pseudo-code suitable for computer input

Scientific paper

259 new instances of hypergeometric 3F2(1) evaluations are obtained by systematically testing three-part transformations among these functions, against the previously known database of 133 such evaluations. A complete database of 447 evaluations is listed in a series of appendices, including one appendix where all cases are given in the form of packed pseudo-code, suitable for pasting as input instructions, to a computer algebra code.

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