Abstract
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.
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Acknowledgements
The author is grateful to the reviewers for the suggestions that help to improve the paper. The author wishes to express his sincere gratitude to Dr. A. Swaminathan, Department of Mathematics, Indian Institute of Technology Roorkee, for his enthusiastic guidance, encouraging support and helpful discussions throughout this research.
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Das, S. Inequalities for q-gamma function ratios. Anal.Math.Phys. 9, 313–321 (2019). https://doi.org/10.1007/s13324-017-0198-0
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DOI: https://doi.org/10.1007/s13324-017-0198-0