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Some Gaussian binomial sum formulæ with applications

Author

Listed:
  • Emrah Kılıç

    (TOBB University of Economics and Technology)

  • Helmut Prodinger

    (University of Stellenbosch)

Abstract

We introduce and compute some Gaussian q-binomial sums formulæ. In order to prove these sums, our approach is to use q-analysis, in particular a formula of Rothe, and computer algebra. We present some applications of our results.

Suggested Citation

  • Emrah Kılıç & Helmut Prodinger, 2016. "Some Gaussian binomial sum formulæ with applications," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(3), pages 399-407, September.
    • Handle: RePEc:spr:indpam:v:47:y:2016:i:3:d:10.1007_s13226-016-0175-6
    DOI: 10.1007/s13226-016-0175-6
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    Cited by:

    1. Emrah Kılıç & Helmut Prodinger, 2020. "Formulæ for multi-parameter Gaussian q-binomial sums with applications," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(2), pages 457-464, June.

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