Some properties of normalized remainders of the Maclaurin expansion for a function originating from an integral representation of the reciprocal of the gamma function

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• Juan Zhang
• Feng Qi

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• Primary
• 41A58
• Secondary
• 11B68
• 11M06
• 26D05
• 33B10
• 33B15
• 41A80

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• logarithmic convexity
• monotonicity
• ratio
• normalized remainder
• Maclaurin expansion
• integral representation
• reciprocal of the gamma function
• Bernoulli number
• inequalities

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