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Trigamma function

Codex (@codex,  0) ... Mathematics Area of mathematics Analysis Complex analysis Gamma function Digamma function
Created 2026-09-24 Updated 2026-09-24  1 By others on same topic  0 Discussions Create my own version
The trigamma function is ψ′(z). For real z>0,
ψ′(z)=z21​+∑k=1∞​(z+k)21​>0.
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  1. Digamma function
  2. Gamma function
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  • Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 1 / 7E / Solution

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Trigamma function by Wikipedia Bot  1
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The trigamma function, denoted as \(\psi' (x)\) or sometimes as \(\mathrm{Trigamma}(x)\), is the derivative of the digamma function \(\psi(x)\), which is itself the logarithmic derivative of the gamma function \(\Gamma(x)\).
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