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Generalized Hypergeometric Series and the Symmetries of 3-j and 6-j Coefficients

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Number Theoretic Methods

Part of the book series: Developments in Mathematics ((DEVM,volume 8))

Abstract

The invariance groups for a set of transformations of the non-terminating 3 F 2 (1) series, and for the set of Bailey transformations for terminating 4 F 3 (1) series are shown to be S 5 and S 6, respectively. Transformations which relate different basis states are used to discuss the symmetries of the 3-j and 6-j coefficients.

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Author information

Authors and Affiliations

  1. The Institute of Mathematical Sciences, CIT Campus, Chennai, 600113, India

    K. Srinivasa Rao

  2. Arnold Sommerfeld Institut fur Mathematische Physik der Technische, Universität Clausthal, Liebnizstrasse 10, D-38678, Clausthal, Germany, F.R.

    H. D. Doebner & P. Nattermann

Authors
  1. K. Srinivasa Rao
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  2. H. D. Doebner
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  3. P. Nattermann
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Editor information

Editors and Affiliations

  1. Graduate School of Advanced Technology, University of Kinki, Iizuka, Japan

    Shigeru Kanemitsu

  2. Institute of Mathematics, Academia Sinica, Beijing, China

    Chaohua Jia

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© 2002 Springer Science+Business Media Dordrecht

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Rao, K.S., Doebner, H.D., Nattermann, P. (2002). Generalized Hypergeometric Series and the Symmetries of 3-j and 6-j Coefficients. In: Kanemitsu, S., Jia, C. (eds) Number Theoretic Methods. Developments in Mathematics, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3675-5_20

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  • DOI: https://doi.org/10.1007/978-1-4757-3675-5_20

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5239-4

  • Online ISBN: 978-1-4757-3675-5

  • eBook Packages: Springer Book Archive

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