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Systems of parameters and holonomicity of A-hypergeometric systems

Publication ,  Journal Article
Zamaere, CB; Griffeth, S; Miller, E
Published in: Pacific Journal of Mathematics
January 1, 2015

We give an elementary proof of holonomicity for A-hypergeometric systems, with no requirements on the behavior of their singularities, a result originally due to Adolphson (1994) after the regular singular case by Gelfand and Gelfand (1986). Our method yields a direct de novo proof that A-hypergeometric systems form holonomic families over their parameter spaces, as shown by Matusevich, Miller, and Walther (2005).

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Published In

Pacific Journal of Mathematics

DOI

ISSN

0030-8730

Publication Date

January 1, 2015

Volume

276

Issue

2

Start / End Page

281 / 286

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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Zamaere, C. B., Griffeth, S., & Miller, E. (2015). Systems of parameters and holonomicity of A-hypergeometric systems. Pacific Journal of Mathematics, 276(2), 281–286. https://doi.org/10.2140/pjm.2015.276.281
Zamaere, C. B., S. Griffeth, and E. Miller. “Systems of parameters and holonomicity of A-hypergeometric systems.” Pacific Journal of Mathematics 276, no. 2 (January 1, 2015): 281–86. https://doi.org/10.2140/pjm.2015.276.281.
Zamaere CB, Griffeth S, Miller E. Systems of parameters and holonomicity of A-hypergeometric systems. Pacific Journal of Mathematics. 2015 Jan 1;276(2):281–6.
Zamaere, C. B., et al. “Systems of parameters and holonomicity of A-hypergeometric systems.” Pacific Journal of Mathematics, vol. 276, no. 2, Jan. 2015, pp. 281–86. Scopus, doi:10.2140/pjm.2015.276.281.
Zamaere CB, Griffeth S, Miller E. Systems of parameters and holonomicity of A-hypergeometric systems. Pacific Journal of Mathematics. 2015 Jan 1;276(2):281–286.
Journal cover image

Published In

Pacific Journal of Mathematics

DOI

ISSN

0030-8730

Publication Date

January 1, 2015

Volume

276

Issue

2

Start / End Page

281 / 286

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics