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  • Rosengren, Hjalmar, 1972, et al. (author)
  • Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations
  • 2003
  • In: Indagationes Mathematicae. ; 14, s. 483-514
  • Journal article (peer-reviewed)abstract
    • Using multiple q-integrals and a determinant evaluation, we establish a multivariable extension of Bailey's nonterminating 10-phi-9 transformation. From this result, we deduce new multivariable terminating 10-phi-9 transformations, 8-phi-7 summations and other identities. We also use similar methods to derive new multivariable 1-psi-1 summations. Some of our results are extended to the case of elliptic hypergeometric series.
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  • Rosengren, Hjalmar, 1972, et al. (author)
  • Multidimensional matrix inversions and elliptic hypergeometric series on root systems
  • 2020
  • In: Symmetry, Integrability and Geometry - Methods and Applications. - 1815-0659. ; 16, s. 1-21
  • Journal article (peer-reviewed)abstract
    • Multidimensional matrix inversions provide a powerful tool for studying multiple hypergeometric series. In order to extend this technique to elliptic hypergeometric series, we present three new multidimensional matrix inversions. As applications, we obtain a new Ar elliptic Jackson summation, as well as several quadratic, cubic and quartic summation formulas.
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  • Result 1-4 of 4
Type of publication
journal article (4)
Type of content
peer-reviewed (4)
Author/Editor
Schlosser, Michael J ... (1)
University
Chalmers University of Technology (4)
University of Gothenburg (3)
Language
English (4)
Research subject (UKÄ/SCB)
Natural sciences (4)
Engineering and Technology (1)

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