diff --git a/lib/node_modules/@stdlib/math/base/special/cceil/README.md b/lib/node_modules/@stdlib/math/base/special/cceil/README.md
index 9ac96e4aa841..0b2c3369cd32 100644
--- a/lib/node_modules/@stdlib/math/base/special/cceil/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cceil/README.md
@@ -22,6 +22,20 @@ limitations under the License.
> Round each component of a double-precision complex floating-point number toward positive infinity.
+
+
+
+
+```math
+\mathop{\mathrm{cceil}}(a + bi) = \lceil a \rceil + \lceil b \rceil i
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/cceilf/README.md b/lib/node_modules/@stdlib/math/base/special/cceilf/README.md
index 2945eccd8ae0..bc0a61ef7a19 100644
--- a/lib/node_modules/@stdlib/math/base/special/cceilf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cceilf/README.md
@@ -22,6 +22,20 @@ limitations under the License.
> Round each component of a single-precision complex floating-point number toward positive infinity.
+
+
+
+
+```math
+\mathop{\mathrm{cceil}}(a + bi) = \lceil a \rceil + \lceil b \rceil i
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/cceiln/README.md b/lib/node_modules/@stdlib/math/base/special/cceiln/README.md
index befda7b2b10d..cf91f2a3444d 100644
--- a/lib/node_modules/@stdlib/math/base/special/cceiln/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cceiln/README.md
@@ -22,6 +22,20 @@ limitations under the License.
> Round each component of a double-precision complex floating-point number to the nearest multiple of `10^n` toward positive infinity.
+
+
+
+
+```math
+\mathop{\mathrm{cceiln}}(a + bi, n) = \mathop{\mathrm{ceiln}}(a, n) + \mathop{\mathrm{ceiln}}(b, n)\,i
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/cflipsign/README.md b/lib/node_modules/@stdlib/math/base/special/cflipsign/README.md
index 8fd0610d4ddb..87028e633138 100644
--- a/lib/node_modules/@stdlib/math/base/special/cflipsign/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cflipsign/README.md
@@ -26,6 +26,14 @@ limitations under the License.
+
+
+```math
+w = z \cdot \mathop{\mathrm{sign}}(y)
+```
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/cflipsignf/README.md b/lib/node_modules/@stdlib/math/base/special/cflipsignf/README.md
index aa983fc53791..7155258c2418 100644
--- a/lib/node_modules/@stdlib/math/base/special/cflipsignf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cflipsignf/README.md
@@ -26,6 +26,14 @@ limitations under the License.
+
+
+```math
+w = z \cdot \mathop{\mathrm{sign}}(y)
+```
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/cfloor/README.md b/lib/node_modules/@stdlib/math/base/special/cfloor/README.md
index 00c2385932f1..d8918742885f 100644
--- a/lib/node_modules/@stdlib/math/base/special/cfloor/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cfloor/README.md
@@ -22,6 +22,20 @@ limitations under the License.
> Round a double-precision complex floating-point number toward negative infinity.
+
+
+
+
+```math
+\mathop{\mathrm{cfloor}}(a + bi) = \lfloor a \rfloor + \lfloor b \rfloor i
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/cfloorf/README.md b/lib/node_modules/@stdlib/math/base/special/cfloorf/README.md
index 8c4c4ce3dd55..75f28097a9c5 100644
--- a/lib/node_modules/@stdlib/math/base/special/cfloorf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cfloorf/README.md
@@ -22,6 +22,20 @@ limitations under the License.
> Round each component of a single-precision complex floating-point number toward negative infinity.
+
+
+
+
+```math
+\mathop{\mathrm{cfloor}}(a + bi) = \lfloor a \rfloor + \lfloor b \rfloor i
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/cfloorn/README.md b/lib/node_modules/@stdlib/math/base/special/cfloorn/README.md
index 65e7bd025b44..3cb38b6d20e8 100644
--- a/lib/node_modules/@stdlib/math/base/special/cfloorn/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cfloorn/README.md
@@ -22,6 +22,20 @@ limitations under the License.
> Round each component of a double-precision complex floating-point number to the nearest multiple of `10^n` toward negative infinity.
+
+
+
+
+```math
+\mathop{\mathrm{cfloorn}}(a + bi, n) = \mathop{\mathrm{floorn}}(a, n) + \mathop{\mathrm{floorn}}(b, n)\,i
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/cfloornf/README.md b/lib/node_modules/@stdlib/math/base/special/cfloornf/README.md
index 58181f0d8a44..33b87f9e16b1 100644
--- a/lib/node_modules/@stdlib/math/base/special/cfloornf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cfloornf/README.md
@@ -22,6 +22,20 @@ limitations under the License.
> Round each component of a single-precision complex floating-point number to the nearest multiple of `10^n` toward negative infinity.
+
+
+
+
+```math
+\mathop{\mathrm{cfloorn}}(a + bi, n) = \mathop{\mathrm{floorn}}(a, n) + \mathop{\mathrm{floorn}}(b, n)\,i
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/cpolar/README.md b/lib/node_modules/@stdlib/math/base/special/cpolar/README.md
index 3175adc49d39..0f4a90ff7146 100644
--- a/lib/node_modules/@stdlib/math/base/special/cpolar/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cpolar/README.md
@@ -24,6 +24,18 @@ limitations under the License.
+The function computes the [absolute value][absolute-value] and [phase][complex-number-argument] of a complex number
+
+
+
+```math
+z = r e^{i\theta}
+```
+
+
+
+where `r = |z|` is the absolute value (modulus) and `θ` is the phase (argument).
+
@@ -223,6 +235,10 @@ int main( void ) {
+[absolute-value]: https://en.wikipedia.org/wiki/Absolute_value
+
+[complex-number-argument]: https://en.wikipedia.org/wiki/Argument_(complex_analysis)
+
[@stdlib/math/base/special/cabs]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/cabs
[@stdlib/math/base/special/cphase]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/cphase
diff --git a/lib/node_modules/@stdlib/math/base/special/cpolarf/README.md b/lib/node_modules/@stdlib/math/base/special/cpolarf/README.md
index 8e5cf1a4ab96..1ff78ec172ac 100644
--- a/lib/node_modules/@stdlib/math/base/special/cpolarf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cpolarf/README.md
@@ -24,6 +24,18 @@ limitations under the License.
+The function computes the [absolute value][absolute-value] and [phase][complex-number-argument] of a complex number
+
+
+
+```math
+z = r e^{i\theta}
+```
+
+
+
+where `r = |z|` is the absolute value (modulus) and `θ` is the phase (argument).
+
@@ -210,6 +222,10 @@ int main( void ) {
+[absolute-value]: https://en.wikipedia.org/wiki/Absolute_value
+
+[complex-number-argument]: https://en.wikipedia.org/wiki/Argument_(complex_analysis)
+
[@stdlib/math/base/special/cabsf]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/cabsf
[@stdlib/math/base/special/cphasef]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/cphasef
diff --git a/lib/node_modules/@stdlib/math/base/special/cround/README.md b/lib/node_modules/@stdlib/math/base/special/cround/README.md
index 3669e00e181a..39fd16443c18 100644
--- a/lib/node_modules/@stdlib/math/base/special/cround/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/cround/README.md
@@ -22,6 +22,20 @@ limitations under the License.
> Round each component of a double-precision complex floating-point number to the nearest integer.
+
+
+
+
+```math
+\mathop{\mathrm{cround}}(a + bi) = \lfloor a + 0.5 \rfloor + \lfloor b + 0.5 \rfloor i
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/croundf/README.md b/lib/node_modules/@stdlib/math/base/special/croundf/README.md
index c0348b3f3bcf..02a1e9e7a930 100644
--- a/lib/node_modules/@stdlib/math/base/special/croundf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/croundf/README.md
@@ -22,6 +22,20 @@ limitations under the License.
> Round each component of a single-precision complex floating-point number to the nearest integer.
+
+
+
+
+```math
+\mathop{\mathrm{cround}}(a + bi) = \lfloor a + 0.5 \rfloor + \lfloor b + 0.5 \rfloor i
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/croundn/README.md b/lib/node_modules/@stdlib/math/base/special/croundn/README.md
index f76e440f3b15..e2e386d7ae48 100644
--- a/lib/node_modules/@stdlib/math/base/special/croundn/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/croundn/README.md
@@ -22,6 +22,20 @@ limitations under the License.
> Round each component of a double-precision complex floating-point number to the nearest multiple of `10^n`.
+
+
+
+
+```math
+\mathop{\mathrm{croundn}}(a + bi, n) = \mathop{\mathrm{roundn}}(a, n) + \mathop{\mathrm{roundn}}(b, n)\,i
+```
+
+
+
+
+
+
+
## Usage
diff --git a/lib/node_modules/@stdlib/math/base/special/csignum/README.md b/lib/node_modules/@stdlib/math/base/special/csignum/README.md
index a3c8fdd72fff..cc8ae1fa0dd4 100644
--- a/lib/node_modules/@stdlib/math/base/special/csignum/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/csignum/README.md
@@ -26,6 +26,16 @@ limitations under the License.
+The [signum][signum] function of a complex number is defined as
+
+
+
+```math
+\mathop{\mathrm{csignum}}(z) = \begin{cases} \frac{z}{|z|} & \textrm{if}\ z \neq 0 \\ 0 & \textrm{if}\ z = 0 \end{cases}
+```
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/csignumf/README.md b/lib/node_modules/@stdlib/math/base/special/csignumf/README.md
index ac0c4d8f21f4..6f11b22408fd 100644
--- a/lib/node_modules/@stdlib/math/base/special/csignumf/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/csignumf/README.md
@@ -26,6 +26,16 @@ limitations under the License.
+The [signum][signum] function of a complex number is defined as
+
+
+
+```math
+\mathop{\mathrm{csignum}}(z) = \begin{cases} \frac{z}{|z|} & \textrm{if}\ z \neq 0 \\ 0 & \textrm{if}\ z = 0 \end{cases}
+```
+
+
+