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Evaluation of q-gamma function and q-analogues by iterative algorithms

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Abstract

Two known two-dimensional algorithms, obtained by modifying the classical arithmetic-harmonic mean, are reconsidered. Some rapidly convergent sequences associated with the algorithms are established and applied to the evaluation of q-analogous functions. Computation of q-gamma function, q-beta function, and q-exponential function is shown to be effective.

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Authors and Affiliations

  1. Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123, Turin, Italy

    Bruno Gabutti & Giampietro Allasia

Authors
  1. Bruno Gabutti
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  2. Giampietro Allasia
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Correspondence to Giampietro Allasia.

Additional information

In memory of our friend and colleague Luigi Gatteschi.

This study starts from an idea of Luigi Gatteschi and completing it is for us a debt of friendship. Obviously only the authors are responsible for the present development and for possible errors.

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Gabutti, B., Allasia, G. Evaluation of q-gamma function and q-analogues by iterative algorithms. Numer Algor 49, 159–168 (2008). https://doi.org/10.1007/s11075-008-9196-5

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  • DOI: https://doi.org/10.1007/s11075-008-9196-5

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