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Volume 6, Issue 4, Article 103 |
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Some New Inequalities for Gamma and Polygamma Functions
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Authors: |
Necdet Batir, |
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Keywords:
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Digamma function, psi function, polygamma function, gamma function, inequalities, Euler's constant and completely monotonicity. |
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Date Received:
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05/05/05 |
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Date Accepted:
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08/09/05 |
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Subject Codes: |
Primary: 33B15; Secondary: 26D07.
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Editors: |
Andrea Laforgia, |
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Abstract: |
In this paper we derive some new inequalities involving the gamma function  , polygamma functions  and  . We also obtained two new sequences converging to Euler-Mascheroni constant  very quickly.
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