ne'o'au

valsi

ne'o'au

type

experimental cmavo

creator

krtisfranks

time entered

Tue Dec 13 21:46:07 2022  

English

Definition #73055 - Preferred

 

selma'o

VUhU3

definition

mekso quaternary operator: polygamma function; for input MATH

$X_1, X_2, X_3, X_4$

X₁, X₂, X₃, X₄, outputs the (- X₂)th derivative of Log(ne'o'a( MATH

$X_1, X_3, X_4$

X₁, X₃, X₄)) with respect to X₁.

notes

By default, X₂ = - 1 (notice the double-negative). Inherits the defaults for/of "ne'o'a" (for: X₃ = ne'o'a₂, and X₄ = ne'o'a₃). The 0th derivative is the identity operator; in order to be consistent with "salri", negative-integer-order derivatives (meaning: positive X₂) are antiderivatives. X₂ being other than a non-positive integer, or X₁ being non-real, should require mention or assumption of the cultural default interpretation of the definition of the differintegral operator. "Log" here denotes the primary branch of the natural (base-e) logarithm. This is a shift of the polygamma function by 1, so as to be consistent with "ne'o". Therefore, the basic digamma function (derived from the gamma, not Pi, function), often denoted "psi₀(z), is equal to this word's output for MATH

$X_1 = z - 1, X_2 = -1, X_3 = 0, X_4 =$

X₁ = z - 1, X₂ = - 1, X₃ = 0, X₄ = +infty (notice the prevalence of the default parameter values).

gloss words

• digamma function
• polyfactorial
• polygamma function
• poly-pi function ; related to the factorial

created by

krtisfranks

vote information

1

time

Tue Dec 13 22:04:30 2022

Examples

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