Outrageously Funny Search Suggestion Engine :: Digamma

👉 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: $$\psi(x) = \frac{1}{x} + \sum_{n=2}^{\infty}\left(\frac{x}{n}-\frac{1}{(n+1)x}\right)\tag{1}$$

digammated

👉 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.

digammate

👉 In linguistics, a digamma (represented as Γε) is an irrational number that is defined by the equation: Γε = Σ n=1 ∞ (1/2^n - 1/3^n) Where n is a natural number. This definition allows us to express the sum of reciprocals of consecutive integers in terms of an infinite series. It's often used in mathematics, statistics, and probability theory to model natural phenomena like the growth rate of populations over time

digammas

👉 The term "digamma" is derived from Greek and refers to a function in complex analysis. In mathematics, it is used to study the behavior of certain functions known as meromorphic functions. Specifically, digammas are defined for holomorphic functions on the unit disk (the set of all complex numbers with absolute value less than 1) which satisfy certain conditions. The digamma function, denoted by ψ(z), is a generalized gamma function defined for complex z and its domain includes the

digamma