👉 In mathematics, a digamma function is defined as: φ(z) = ∫_0^∞ (z - x)^(-1) e^{-x} dx This function is named after the Greek letter gamma (Γ), which represents the gamma function. The digamma function is important in the study of complex analysis and has applications in various fields such as number theory, probability theory, and mathematical physics.
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What is the definition of Digammated? 🙋
👉 The term "digamma function" is derived from the Greek word "digama," which means "infinite." The digamma function, denoted by $\psi(x)$ or $\psi(x)^\prime$, is defined as: $$\psi(x) = \frac{1}{x} + \sum_{n=2}^{\infty}\left(\frac{x}{n}-\frac{1}{(n+1)x}\right)\tag{1}$$
