In this work inequalities for the ratios of q-gamma function are obtained which generalize the results obtained independently by Artin, Wendel, Gautschi and Jameson. Using these inequalities bounds for Gaussian binomial coefficients and q-Wallis ratio are derived and Bohr–Mollerup theorem is also proved as applications. The recent methods developed for gamma functions are used in order to obtain main results.
Analysis and Mathematical Physics – Springer Journals
Published: Oct 9, 2017
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