Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Generalization of Euler's Hypergeometric Transformation   Euler's transformation formula for the Gauss hypergeometric function 2F1 is
extended to hypergeometric functions of higher order. Unusually, the
generalized transformation constrains the hypergeometric function parameters
algebraically but not linearly. Its consequences for hypergeometric summation
are explored. It has as corollary a summation formula of Slater. From this
formula new one-term evaluations of 2F1(-1) and 3F2(1) are derived, by applying
transformations in the Thomae group. Their parameters are also constrained
nonlinearly. Several new one-term evaluations of 2F1(-1) with linearly
constrained parameters are derived as well.

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The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org