Digamma Function Calculator
Free online digamma function calculator. Enter your values and get instant results with the formula, step-by-step working, a worked example and FAQs — everything runs locally in your browser on Calcton, no signup required.
中文版：Digamma 函数在线计算器
关键值与递推
ψ(x+1) = ψ(x) + 1/x；ψ(1) = −γ ≈ −0.577215664901533；ψ(1/2) = −γ − 2ln2 ≈ −1.963510026021424
digamma 是 gamma 的对数导数 ψ = Γ′/Γ，把连乘与级数化为差分：调和数 Hₙ = ψ(n+1) + γ 对任意实数延续。大 x 渐近 ψ(x) ≈ ln x − 1/(2x) + 1/(12x²) 精度极高（x ≥ 10 时误差 < 10⁻¹¹）；ψ 的零点 x ≈ 1.4616… 是 gamma 函数最小值的位置。
How to use the Digamma Function Calculator
- Fill in the inputs with your own numbers — every field shows what it expects.
- The result updates instantly as you type; no "Calculate" click needed.
- Read the result card for the main figure, the step-by-step formula, and practical notes.
Frequently asked questions
Is the Digamma Function Calculator free?
Yes — all math calculators on Calcton are free, with no sign-up required. Your inputs are processed in your browser and never sent to a server.
Is there a Chinese version of this tool?
Yes. Use the Chinese version link above — it is the same calculator with the interface in Simplified Chinese.
References
Formulas and benchmarks used by this calculator follow these published sources.
KevinContent LeadCalcton Editorial Team · Last updated 2026-09-26
Kevin maintains Calcton's formula verification and content: every calculator cites the standard it implements, worked examples are recomputed programmatically, and health benchmarks follow WHO and international guidelines.
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