Open AccessSingularities of the hypergeometric system associated with a monomial curve
Author(s) -
Francisco-Jesús Castro-Jiménez,
Nobuki Takayama
Publication year - 2003
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-03-03300-2
Subject(s) - monomial , hypergeometric distribution , mathematics , hypergeometric function , class (philosophy) , semantics (computer science) , annotation , algorithm , algebra over a field , computer science , pure mathematics , artificial intelligence , programming language
We compute, using D \mathcal {D} -module restrictions, the slopes of the irregular hypergeometric system associated with a monomial curve. We also study rational solutions and reducibility of such systems.