diff --git a/lib/node_modules/@stdlib/math/base/special/exp10/README.md b/lib/node_modules/@stdlib/math/base/special/exp10/README.md
index 5a94d93e270d..6ecf9b31bcbd 100644
--- a/lib/node_modules/@stdlib/math/base/special/exp10/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/exp10/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Base `10` [exponential function][exponential-function].
+
+
+The [base-10 exponential function][exponential-function] is defined as
+
+
+
+```math
+y = 10^x
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/exp2/README.md b/lib/node_modules/@stdlib/math/base/special/exp2/README.md
index d944a174807e..a489b17fbdfe 100644
--- a/lib/node_modules/@stdlib/math/base/special/exp2/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/exp2/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Base `2` [exponential function][exponential-function].
+
+
+The [base-2 exponential function][exponential-function] is defined as
+
+
+
+```math
+y = 2^x
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/expm1/README.md b/lib/node_modules/@stdlib/math/base/special/expm1/README.md
index 8f4232ea6754..edbf6e1cc3da 100644
--- a/lib/node_modules/@stdlib/math/base/special/expm1/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/expm1/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Compute `exp(x) - 1`.
+
+
+The function computes `exp(x) - 1` accurately for small `x`
+
+
+
+```math
+y = e^x - 1
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/ln/README.md b/lib/node_modules/@stdlib/math/base/special/ln/README.md
index 0c58bacc84f5..810ee79f4cb2 100644
--- a/lib/node_modules/@stdlib/math/base/special/ln/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/ln/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Evaluate the [natural logarithm][natural-logarithm] of a double-precision floating-point number.
+
+
+The [natural logarithm][natural-logarithm] is defined as
+
+
+
+```math
+y = \ln(x) = \log_e(x)
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/lnf/README.md b/lib/node_modules/@stdlib/math/base/special/lnf/README.md
index e580f40f2873..74bf17931f26 100644
--- a/lib/node_modules/@stdlib/math/base/special/lnf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/lnf/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Evaluate the [natural logarithm][natural-logarithm] of a single-precision floating-point number.
+
+
+The [natural logarithm][natural-logarithm] is defined as
+
+
+
+```math
+y = \ln(x) = \log_e(x)
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/log/README.md b/lib/node_modules/@stdlib/math/base/special/log/README.md
index 2ed02bcaaa66..43214cbc025c 100644
--- a/lib/node_modules/@stdlib/math/base/special/log/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/log/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Compute the base `b` [logarithm][logarithm] of a double-precision floating-point number.
+
+
+The [logarithm][logarithm] with an arbitrary base is defined as
+
+
+
+```math
+y = \log_b(x) \quad \text{such that} \quad b^y = x
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/log1mexp/README.md b/lib/node_modules/@stdlib/math/base/special/log1mexp/README.md
index a383a59300cb..9a0df1d66467 100644
--- a/lib/node_modules/@stdlib/math/base/special/log1mexp/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/log1mexp/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Evaluates the [natural logarithm][@stdlib/math/base/special/ln] of `1-exp(-|x|)`.
+
+
+The function computes the natural logarithm of `1-exp(-|x|)` accurately
+
+
+
+```math
+y = \ln(1 - e^{-|x|})
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/log1p/README.md b/lib/node_modules/@stdlib/math/base/special/log1p/README.md
index 7a2dc1bce3bc..0cef75740f13 100644
--- a/lib/node_modules/@stdlib/math/base/special/log1p/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/log1p/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Evaluate the [natural logarithm][@stdlib/math/base/special/ln] of `1+x`.
+
+
+The function computes the [natural logarithm][natural-logarithm] of `1+x` accurately for small `x`
+
+
+
+```math
+y = \ln(1 + x)
+```
+
+
+
+
+
+
+
## Usage
@@ -197,6 +213,8 @@ int main( void ) {
+[natural-logarithm]: https://en.wikipedia.org/wiki/Natural_logarithm
+
[@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/log1pexp/README.md b/lib/node_modules/@stdlib/math/base/special/log1pexp/README.md
index 5fc3e1b148e9..b2ddb6bd639d 100644
--- a/lib/node_modules/@stdlib/math/base/special/log1pexp/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/log1pexp/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Evaluates the [natural logarithm][@stdlib/math/base/special/ln] of `1+exp(x)`.
+
+
+The function computes the natural logarithm of `1+exp(x)`, also known as the softplus function
+
+
+
+```math
+y = \ln(1 + e^x)
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/log1pf/README.md b/lib/node_modules/@stdlib/math/base/special/log1pf/README.md
index 32d7c793b920..2e13c6585826 100644
--- a/lib/node_modules/@stdlib/math/base/special/log1pf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/log1pf/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Evaluate the [natural logarithm][@stdlib/math/base/special/lnf] of `1+x` as a single‐precision floating-point number.
+
+
+The function computes the [natural logarithm][natural-logarithm] of `1+x` accurately for small `x`
+
+
+
+```math
+y = \ln(1 + x)
+```
+
+
+
+
+
+
+
## Usage
@@ -190,6 +206,8 @@ int main( void ) {
+[natural-logarithm]: https://en.wikipedia.org/wiki/Natural_logarithm
+
[@stdlib/math/base/special/lnf]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/lnf
diff --git a/lib/node_modules/@stdlib/math/base/special/log1pmx/README.md b/lib/node_modules/@stdlib/math/base/special/log1pmx/README.md
index 0bff460fb6df..6d888e6eff27 100644
--- a/lib/node_modules/@stdlib/math/base/special/log1pmx/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/log1pmx/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Evaluate `ln(1+x) - x`.
+
+
+The function computes `ln(1+x) - x` accurately for small `x`
+
+
+
+```math
+y = \ln(1 + x) - x
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/logf/README.md b/lib/node_modules/@stdlib/math/base/special/logf/README.md
index 99f1a74b25c5..bd1d574ac361 100644
--- a/lib/node_modules/@stdlib/math/base/special/logf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/logf/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Compute the base `b` [logarithm][logarithm] of a single-precision floating-point number.
+
+
+The [logarithm][logarithm] with an arbitrary base is defined as
+
+
+
+```math
+y = \log_b(x) \quad \text{such that} \quad b^y = x
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/xlog1py/README.md b/lib/node_modules/@stdlib/math/base/special/xlog1py/README.md
index af3e7619da3f..31f90801a369 100644
--- a/lib/node_modules/@stdlib/math/base/special/xlog1py/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/xlog1py/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Compute `x * ln(y+1)` so that the result is `0` if `x = 0`.
+
+
+The function computes `x * ln(1+y)`, returning `0` when `x = 0`
+
+
+
+```math
+f(x, y) = \begin{cases} x \cdot \ln(1 + y) & \textrm{if}\ x \neq 0 \\ 0 & \textrm{if}\ x = 0 \end{cases}
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/xlogy/README.md b/lib/node_modules/@stdlib/math/base/special/xlogy/README.md
index 6347709a290c..e522d57b98ad 100644
--- a/lib/node_modules/@stdlib/math/base/special/xlogy/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/xlogy/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Compute `x * ln(y)` so that the result is `0` if `x = 0`.
+
+
+The function computes `x * ln(y)`, returning `0` when `x = 0`
+
+
+
+```math
+f(x, y) = \begin{cases} x \cdot \ln(y) & \textrm{if}\ x \neq 0 \\ 0 & \textrm{if}\ x = 0 \end{cases}
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/xlogyf/README.md b/lib/node_modules/@stdlib/math/base/special/xlogyf/README.md
index b905abe83725..07a8452d79ad 100644
--- a/lib/node_modules/@stdlib/math/base/special/xlogyf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/xlogyf/README.md
@@ -22,6 +22,22 @@ limitations under the License.
> Compute `x * ln(y)` so that the result is `0` if `x = 0` for single-precision floating-point numbers `x` and `y`.
+
+
+The function computes `x * ln(y)`, returning `0` when `x = 0`
+
+
+
+```math
+f(x, y) = \begin{cases} x \cdot \ln(y) & \textrm{if}\ x \neq 0 \\ 0 & \textrm{if}\ x = 0 \end{cases}
+```
+
+
+
+
+
+
+