Statements (18)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:appearsIn |
gptkb:probability_theory
statistics analytic number theory |
gptkbp:domain |
complex numbers except non-positive integers
|
gptkbp:heldBy |
gptkb:software
gptkb:polygamma_function |
https://www.w3.org/2000/01/rdf-schema#label |
trigamma function
|
gptkbp:is_always |
positive for real x > 0
|
gptkbp:is_the_second_derivative_of |
logarithm of the gamma function
|
gptkbp:notation |
d²/dx² ln Γ(x)
Ψ₁(x) ψ₁(x) |
gptkbp:relatedTo |
gptkb:digamma_function
gptkb:gamma_function |
gptkbp:series_representation |
∑_{k=0}^∞ 1/(x+k)²
|
gptkbp:bfsParent |
gptkb:polygamma_function
|
gptkbp:bfsLayer |
7
|