Trigamma

Generated from the engine's own definition: compute-engine's symbol, which we neither extend nor document by hand.

Trigamma function, the derivative of the digamma function

WikipediaTrigamma function↗MathWorldTrigammaFunction↗WikidataQ1244426↗DLMF5.15↗

Trigamma(complex | infinity) -> numberas compute-engine declares it

mpmathpsi(1, complex | infinity)↗Juliaenumeratio_ball(z -> polygamma(CC(1), z), complex | infinity)

Typed signatures

Type	Package	Applies
(complex | infinity) -> number	compute-engine	always

Domain: Compute engine

Plot

ComplexPlot

real slice

Examples

Basic #

$\psi_1(1) = \pi^2/6$ to 20 digits

live ↗

In$N(\mathrm{Trigamma}(1), 20)$Out$1.644\,934\,066\,848\,226\,436\,5$

Known value · mpmath 1.3.0 psi

About

Examples	1
Checked against	Wolfram Language 1 agreempmath 1 agreeJulia 1 agree
Crosswalk	WikipediaMathWorldWikidataDLMFmpmathJulia

Implementation

mappedwolframpackages/oracle/src/mappings.ts

mappedmpmathpackages/oracle/src/mappings.ts

mappedjuliapackages/oracle/src/mappings.ts