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Evaluation of q-gamma function and q-analogues by iterative algorithms. (English) Zbl 1162.65008
Summary: 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.
MSC:
65D20Computation of special functions, construction of tables
33D05q-gamma functions, q-beta functions and integrals
33F05Numerical approximation and evaluation of special functions
References:
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