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Search: swepub > Rosengren Hjalmar 1972 > (2003) > Chalmers University of Technology

  • Result 1-3 of 3
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1.
  • Rosengren, Hjalmar, 1972 (author)
  • Karlsson-Minton type hypergeometric functions on the root system Cn
  • 2003
  • In: Journal of Mathematical Analysis and Applications. ; 281, s. 332-345
  • Journal article (peer-reviewed)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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2.
  • Rosengren, Hjalmar, 1972, et al. (author)
  • On a hypergeometric identity of Gelfand, Graev and Retakh
  • 2003
  • In: Journal of Computational and Applied Mathematics. ; 160, s. 147-158
  • Journal article (peer-reviewed)abstract
    • A hypergeometric identity equating a triple sum to a single sum, originally found by Gelfand, Graev and Retakh [Russian Math. Surveys 47 (1992), 1-88] by using systems of differential equations, is given hypergeometric proofs. As a bonus, several q-analogues can be derived.
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3.
  • 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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  • Result 1-3 of 3
Type of publication
journal article (3)
Type of content
peer-reviewed (3)
Author/Editor
Rosengren, Hjalm... (3)Undo refine
Krattenthaler, Chris ... (1)
Schlosser, Michael (1)
University
University of Gothenburg (3)
Chalmers University of Technology  (3)Undo refine
Language
English (3)
Research subject (UKÄ/SCB)
Natural sciences (3)
Year
2003 (3)Undo refine

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