diff --git a/lib/node_modules/@stdlib/math/base/special/absgammalnf/README.md b/lib/node_modules/@stdlib/math/base/special/absgammalnf/README.md
index 9bf1f6093c12..d624e6f1ae40 100644
--- a/lib/node_modules/@stdlib/math/base/special/absgammalnf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/absgammalnf/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> [Natural logarithm][@stdlib/math/base/special/lnf] of the [absolute][@stdlib/math/base/special/absf] value of the [gamma][@stdlib/math/base/special/gamma] function.
+
+
+The function computes the natural logarithm of the absolute value of the [gamma function][gamma-function]
+
+
+
+```math
+y = \ln |\Gamma(x)|
+```
+
+
+
+
+
+
+
## Usage
@@ -184,6 +200,8 @@ int main( void ) {
+[gamma-function]: https://en.wikipedia.org/wiki/Gamma_function
+
[@stdlib/math/base/special/lnf]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/lnf
[@stdlib/math/base/special/absf]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/absf
diff --git a/lib/node_modules/@stdlib/math/base/special/bernoulli/README.md b/lib/node_modules/@stdlib/math/base/special/bernoulli/README.md
index e9bff8c79eb8..95ad0a71e13b 100644
--- a/lib/node_modules/@stdlib/math/base/special/bernoulli/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/README.md
@@ -24,6 +24,16 @@ limitations under the License.
+The [Bernoulli numbers][bernoulli-number] are a sequence of rational numbers which are of importance in number theory and analysis
+
+
+
+```math
+\frac{t}{e^t - 1} = \sum_{n=0}^{\infty} B_n \frac{t^n}{n!}
+```
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/bernoullif/README.md b/lib/node_modules/@stdlib/math/base/special/bernoullif/README.md
index 6528deb8470d..e0791db86ae0 100644
--- a/lib/node_modules/@stdlib/math/base/special/bernoullif/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/bernoullif/README.md
@@ -24,6 +24,16 @@ limitations under the License.
+The [Bernoulli numbers][bernoulli-number] are a sequence of rational numbers which are of importance in number theory and analysis
+
+
+
+```math
+\frac{t}{e^t - 1} = \sum_{n=0}^{\infty} B_n \frac{t^n}{n!}
+```
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/README.md b/lib/node_modules/@stdlib/math/base/special/betainc/README.md
index 5d3a7fcb828c..0d48b5699bcb 100644
--- a/lib/node_modules/@stdlib/math/base/special/betainc/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/betainc/README.md
@@ -24,6 +24,16 @@ limitations under the License.
+The regularized [incomplete beta function][incomplete-beta-function] is defined as
+
+
+
+```math
+I_x(a, b) = \frac{B(x;\, a, b)}{B(a, b)} = \frac{1}{B(a, b)} \int_0^x t^{a-1}(1-t)^{b-1}\,dt
+```
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/betaincinv/README.md b/lib/node_modules/@stdlib/math/base/special/betaincinv/README.md
index f30a71e53471..5710d804c752 100644
--- a/lib/node_modules/@stdlib/math/base/special/betaincinv/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/betaincinv/README.md
@@ -24,6 +24,16 @@ limitations under the License.
+The inverse of the regularized [incomplete beta function][incomplete-beta-function] is defined as
+
+
+
+```math
+x = I^{-1}(p;\, a, b) \quad \text{such that} \quad I_x(a, b) = p
+```
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/falling-factorial/README.md b/lib/node_modules/@stdlib/math/base/special/falling-factorial/README.md
index 1e89ce9bbe33..edce46ac4d79 100644
--- a/lib/node_modules/@stdlib/math/base/special/falling-factorial/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/falling-factorial/README.md
@@ -24,6 +24,16 @@ limitations under the License.
+The [falling factorial][falling-and-rising-factorials] (or Pochhammer's symbol for the descending factorial) is defined as
+
+
+
+```math
+(x)_n = x(x-1)(x-2) \cdots (x-n+1) = \frac{x!}{(x-n)!}
+```
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/gamma-delta-ratio/README.md b/lib/node_modules/@stdlib/math/base/special/gamma-delta-ratio/README.md
index 4eef66ce6c5d..3881f878a4c7 100644
--- a/lib/node_modules/@stdlib/math/base/special/gamma-delta-ratio/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/gamma-delta-ratio/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Compute the ratio of two [gamma][@stdlib/math/base/special/gamma] functions.
+
+
+The function computes the ratio of two [gamma functions][gamma-function]
+
+
+
+```math
+y = \frac{\Gamma(x)}{\Gamma(x + \delta)}
+```
+
+
+
+
+
+
+
## Usage
@@ -184,6 +200,8 @@ int main( void ) {
+[gamma-function]: https://en.wikipedia.org/wiki/Gamma_function
+
[@stdlib/math/base/special/gamma]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/gamma
diff --git a/lib/node_modules/@stdlib/math/base/special/gamma1pm1/README.md b/lib/node_modules/@stdlib/math/base/special/gamma1pm1/README.md
index 824b823d9d5d..5f98555f6608 100644
--- a/lib/node_modules/@stdlib/math/base/special/gamma1pm1/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/gamma1pm1/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Compute `gamma(x+1) - 1`.
+
+
+The function computes `Γ(1+x) - 1` accurately for small `x`
+
+
+
+```math
+y = \Gamma(1 + x) - 1
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/gammaln/README.md b/lib/node_modules/@stdlib/math/base/special/gammaln/README.md
index 72401ee74be9..1ceefaeaa926 100644
--- a/lib/node_modules/@stdlib/math/base/special/gammaln/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/gammaln/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> [Natural logarithm][@stdlib/math/base/special/ln] of the [gamma][@stdlib/math/base/special/gamma] function.
+
+
+The natural logarithm of the [gamma function][gamma-function] is defined as
+
+
+
+```math
+y = \ln \Gamma(x)
+```
+
+
+
+
+
+
+
## Usage
@@ -193,6 +209,8 @@ int main( void ) {
+[gamma-function]: https://en.wikipedia.org/wiki/Gamma_function
+
[@stdlib/math/base/special/ln]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/ln
diff --git a/lib/node_modules/@stdlib/math/base/special/polygamma/README.md b/lib/node_modules/@stdlib/math/base/special/polygamma/README.md
index 8163af4edca0..866da6c0f679 100644
--- a/lib/node_modules/@stdlib/math/base/special/polygamma/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/polygamma/README.md
@@ -24,6 +24,16 @@ limitations under the License.
+The [polygamma][polygamma-function] function of order `n` is the `(n+1)`th derivative of the natural logarithm of the [gamma function][gamma-function]
+
+
+
+```math
+\psi^{(n)}(x) = \frac{d^{n+1}}{dx^{n+1}} \ln{\Gamma(x)}
+```
+
+
+
@@ -143,6 +153,8 @@ logEachMap( 'ψ^(%d)(x = %0.4f): %0.4f', n, x, polygamma );
+[gamma-function]: https://en.wikipedia.org/wiki/Gamma_function
+
[polygamma-function]: https://en.wikipedia.org/wiki/Polygamma_function
[@stdlib/math/base/special/ln]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/ln
diff --git a/lib/node_modules/@stdlib/math/base/special/rising-factorial/README.md b/lib/node_modules/@stdlib/math/base/special/rising-factorial/README.md
index 9d17dde0e452..23d79e3ae452 100644
--- a/lib/node_modules/@stdlib/math/base/special/rising-factorial/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/rising-factorial/README.md
@@ -24,6 +24,16 @@ limitations under the License.
+The [rising factorial][falling-and-rising-factorials] (or Pochhammer function) is defined as
+
+
+
+```math
+x^{(n)} = x(x+1)(x+2) \cdots (x+n-1) = \frac{(x+n-1)!}{(x-1)!}
+```
+
+
+