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SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS RELATED TO THE GAMMA FUNCTION

Bai-Ni Guo|Feng Qi
대한수학회 (The Korean Mathematical Society)|2010.11|대한수학회지 (Journal of the KMS)|제47권 제6호|pp. 1283-1297

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참고문헌

키워드

gamma functioncompletely monotonic functionbasic propertylogarithmically completely monotonic function
주제분류수학

초록

In this article, the logarithmically complete monotonicity of some functions such as [수식],[수식],[수식] and [수식]for α ∈ R on (−1,∞) or (0,∞) are obtained, some known results are recovered, extended and generalized. Moreover, some basic properties of the logarithmically completely monotonic functions are established.

Abstract

In this article, the logarithmically complete monotonicity of some functions such as [수식],[수식],[수식] and [수식]for α ∈ R on (−1,∞) or (0,∞) are obtained, some known results are recovered, extended and generalized. Moreover, some basic properties of the logarithmically completely monotonic functions are established.

참고문헌 (41)

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관련 논문AI추천

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