On certain polynomial systems involving Stirling numbers of second kind. (March 2022)

• Record Type: Journal Article
• Authors: Castro-Jiménez, F.J.; Cobo Pablos, H.
• Is Part Of: Journal of symbolic computation. Volume 109(2022)
• Page Start: 325
• Page End: 350
• Publication Date: 2022-03
• Subjects: 15A54 -- 11B73; Linear systems with polynomial coefficients -- Stirling numbers of second kind; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2020.07.008
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We solve a special type of linear systems with coefficients in multivariate polynomial rings. These systems arise in the computation of b-functions with respect to weights of certain hypergeometric ideals in the Weyl algebra.