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A functional inequality for the polygamma functions
Published online by Cambridge University Press: 17 April 2009
Extract
Let
where ψ denotes the logarithmic derivative of Euler's gamma function. We prove that the functional inequality
holds if and only if 0 < r ≤ 1. And, we show that the converse is valid if and only if r < 0 or r ≥ n + 1.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 72 , Issue 3 , December 2005 , pp. 455 - 459
- Copyright
- Copyright © Australian Mathematical Society 2005
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