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Inequalities for q-gamma function ratios

Inequalities for q-gamma function ratios 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Inequalities for q-gamma function ratios

Analysis and Mathematical Physics , Volume 9 (1) – Oct 9, 2017

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-017-0198-0
Publisher site
See Article on Publisher Site

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.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Oct 9, 2017

References