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Karlsson-Minton type hypergeometric functions on the root system C_n

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Hjalmar Rosengren

Classical Analysis and ODEs · Submitted 10 May 2002

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We prove a reduction formula for Karlsson-Minton type hypergeometric series on the root system C_n and derive some consequences of this identity.

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arXiv IDmath/0205108 (version 1)
Pith ID5DE65NXO, Pith's permanent record of this paper and its review
CitationHjalmar Rosengren. "Karlsson-Minton type hypergeometric functions on the root system C_n." arXiv:math/0205108 (2002). https://pith.science/paper/5DE65NXO
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,272 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.80 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We prove a reduction formula for Karlsson-Minton type hypergeometric series on the root system C_n and derive some consequences of this identity. In particular, when combined with a similar reduction formula for A_n, it implies a C_n Watson transformation due to Milne and Lilly.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We prove a reduction formula for Karlsson-Minton type hypergeometric series on the root system C_n and derive some consequences of this identity. contribution 0.81 0.96 0.89 asserted 1.00
s1 In particular, when combined with a similar reduction formula for A_n, it implies a C_n Watson transformation due to Milne and Lilly. interpretation 0.90 0.51 0.19 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We prove a reduction formula for Karlsson-Minton type hypergeometric series on the root system C_n and derive some consequences of this identity. In particular, when combined with a similar reduction formula for A_n, it implies a C_n Watson transformation due to Milne and Lilly.

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