diff --git a/CHANGELOG.md b/CHANGELOG.md
index e026c8221..f2b02b5bf 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -4,7 +4,7 @@
 
 <section class="release" id="unreleased">
 
-## Unreleased (2024-08-11)
+## Unreleased (2024-08-12)
 
 <section class="packages">
 
@@ -1909,12 +1909,25 @@ This release closes the following issue:
 
 ##### Features
 
+-   [`0ae49fb`](https://github.com/stdlib-js/stdlib/commit/0ae49fba6e79599a4b8b1be464a7570a3c7f6d83) - fix function name and update docs [(#2777)](https://github.com/stdlib-js/stdlib/pull/2777)
 -   [`18bd1b5`](https://github.com/stdlib-js/stdlib/commit/18bd1b5ace1a7dbd9d26bb66c1a1f0aa91573416) - add C implementation for `math/base/special/besselj1`
 
 </section>
 
 <!-- /.features -->
 
+<section class="breaking-changes">
+
+##### BREAKING CHANGES
+
+-   [`0ae49fb`](https://github.com/stdlib-js/stdlib/commit/0ae49fba6e79599a4b8b1be464a7570a3c7f6d83): update C API name
+
+    -   This commit changes the name of the C API from `stdlib_base_j1` to `stdlib_base_besselj1`. This ensures that the C function name more closely matches the global namespace name and helps protect against future naming collisions. To migrate, users should update their call signatures accordingly.
+
+</section>
+
+<!-- /.breaking-changes -->
+
 </details>
 
 </section>
@@ -5829,6 +5842,10 @@ This release closes the following issue:
 
 ### BREAKING CHANGES
 
+-   [`0ae49fb`](https://github.com/stdlib-js/stdlib/commit/0ae49fba6e79599a4b8b1be464a7570a3c7f6d83): update C API name
+
+    -   This commit changes the name of the C API from `stdlib_base_j1` to `stdlib_base_besselj1`. This ensures that the C function name more closely matches the global namespace name and helps protect against future naming collisions. To migrate, users should update their call signatures accordingly.
+
 -   [`fce4265`](https://github.com/stdlib-js/stdlib/commit/fce42651903b96cc6a0f26e84afc812fa4ea94b3): The third argument 'b' in the JavaScript implementation of `truncsd` is now mandatory. To migrate, explicitly supply the old default value of `10` as the third argument.
 -   [`5df976a`](https://github.com/stdlib-js/stdlib/commit/5df976abacaaf3082890fa852e40edfdf1b79f4b): base parameter is no longer optional
 
@@ -5934,6 +5951,7 @@ A total of 24 people contributed to this release. Thank you to the following con
 
 <details>
 
+-   [`0ae49fb`](https://github.com/stdlib-js/stdlib/commit/0ae49fba6e79599a4b8b1be464a7570a3c7f6d83) - **feat:** fix function name and update docs [(#2777)](https://github.com/stdlib-js/stdlib/pull/2777) _(by Gunj Joshi)_
 -   [`779b35c`](https://github.com/stdlib-js/stdlib/commit/779b35ca267629b2dadd9947ad2ba106b8095004) - **feat:** add C implementation for `math/base/special/besselj0` _(by Gunj Joshi, Philipp Burckhardt)_
 -   [`252286d`](https://github.com/stdlib-js/stdlib/commit/252286d5d3357112ff718f0e3dc5ae758836efd3) - **bench:** remove irrelevant benchmark, update `boost` link in `math/base/special/gamma-delta-ratio` _(by Gunj Joshi)_
 -   [`01126b1`](https://github.com/stdlib-js/stdlib/commit/01126b1a0519c87778b802efd352d3117028bb88) - **style:** compare `n` with `integer`, not a `double` in `math/base/special/binomcoefln` [(#2775)](https://github.com/stdlib-js/stdlib/pull/2775 ) _(by Gunj Joshi)_
diff --git a/base/special/besselj1/README.md b/base/special/besselj1/README.md
index f111d1457..6567b758d 100644
--- a/base/special/besselj1/README.md
+++ b/base/special/besselj1/README.md
@@ -122,18 +122,18 @@ for ( i = 0; i < 100; i++ ) {
 ### Usage
 
 ```c
-#include "stdlib/math/base/special/j1.h"
+#include "stdlib/math/base/special/besselj1.h"
 ```
 
-#### stdlib_base_j1( x )
+#### stdlib_base_besselj1( x )
 
 Computes the [Bessel function of the first kind][bessel-first-kind] of order one at `x`.
 
 ```c
-double out = stdlib_base_j1( 0.0 );
+double out = stdlib_base_besselj1( 0.0 );
 // returns 0.0
 
-out = stdlib_base_j1( 1.0 );
+out = stdlib_base_besselj1( 1.0 );
 // returns ~0.440
 ```
 
@@ -142,7 +142,7 @@ The function accepts the following arguments:
 -   **x**: `[in] double` input value.
 
 ```c
-double stdlib_base_j1( const double x );
+double stdlib_base_besselj1( const double x );
 ```
 
 </section>
@@ -164,7 +164,7 @@ double stdlib_base_j1( const double x );
 ### Examples
 
 ```c
-#include "stdlib/math/base/special/j1.h"
+#include "stdlib/math/base/special/besselj1.h"
 #include <stdio.h>
 
 int main( void ) {
@@ -173,8 +173,8 @@ int main( void ) {
     int i;
     
     for ( i = 0; i < 7; i++ ) {
-        v = stdlib_base_j1( x[ i ] );
-        printf( "j1(%lf) = %lf\n", x[ i ], v );
+        v = stdlib_base_besselj1( x[ i ] );
+        printf( "besselj1(%lf) = %lf\n", x[ i ], v );
     }
 }
 ```
diff --git a/base/special/besselj1/benchmark/c/native/benchmark.c b/base/special/besselj1/benchmark/c/native/benchmark.c
index 71ab511ec..32dbd0f89 100644
--- a/base/special/besselj1/benchmark/c/native/benchmark.c
+++ b/base/special/besselj1/benchmark/c/native/benchmark.c
@@ -16,7 +16,7 @@
 * limitations under the License.
 */
 
-#include "stdlib/math/base/special/j1.h"
+#include "stdlib/math/base/special/besselj1.h"
 #include <stdlib.h>
 #include <stdio.h>
 #include <math.h>
@@ -99,7 +99,7 @@ static double benchmark( void ) {
 	t = tic();
 	for ( i = 0; i < ITERATIONS; i++ ) {
 		x = ( 100000.0 * rand_double() ) - 0.0;
-		y = stdlib_base_j1( x );
+		y = stdlib_base_besselj1( x );
 		if ( y != y ) {
 			printf( "should not return NaN\n" );
 			break;
diff --git a/base/special/besselj1/examples/c/example.c b/base/special/besselj1/examples/c/example.c
index a395a8bf2..63368d032 100644
--- a/base/special/besselj1/examples/c/example.c
+++ b/base/special/besselj1/examples/c/example.c
@@ -16,7 +16,7 @@
 * limitations under the License.
 */
 
-#include "stdlib/math/base/special/j1.h"
+#include "stdlib/math/base/special/besselj1.h"
 #include <stdio.h>
 
 int main( void ) {
@@ -25,7 +25,7 @@ int main( void ) {
 	int i;
 
 	for ( i = 0; i < 7; i++ ) {
-		v = stdlib_base_j1( x[ i ] );
-		printf( "j1(%lf) = %lf\n", x[ i ], v );
+		v = stdlib_base_besselj1( x[ i ] );
+		printf( "besselj1(%lf) = %lf\n", x[ i ], v );
 	}
 }
diff --git a/base/special/besselj1/include/stdlib/math/base/special/j1.h b/base/special/besselj1/include/stdlib/math/base/special/besselj1.h
similarity index 83%
rename from base/special/besselj1/include/stdlib/math/base/special/j1.h
rename to base/special/besselj1/include/stdlib/math/base/special/besselj1.h
index 2cf7e053c..5f7c5cf27 100644
--- a/base/special/besselj1/include/stdlib/math/base/special/j1.h
+++ b/base/special/besselj1/include/stdlib/math/base/special/besselj1.h
@@ -16,8 +16,8 @@
 * limitations under the License.
 */
 
-#ifndef STDLIB_MATH_BASE_SPECIAL_J1_H
-#define STDLIB_MATH_BASE_SPECIAL_J1_H
+#ifndef STDLIB_MATH_BASE_SPECIAL_BESSELJ1_H
+#define STDLIB_MATH_BASE_SPECIAL_BESSELJ1_H
 
 /*
 * If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler.
@@ -29,10 +29,10 @@ extern "C" {
 /**
 * Computes the Bessel function of the first kind of order one.
 */
-double stdlib_base_j1( const double x );
+double stdlib_base_besselj1( const double x );
 
 #ifdef __cplusplus
 }
 #endif
 
-#endif // !STDLIB_MATH_BASE_SPECIAL_J1_H
+#endif // !STDLIB_MATH_BASE_SPECIAL_BESSELJ1_H
diff --git a/base/special/besselj1/lib/main.js b/base/special/besselj1/lib/main.js
index 78b5fa158..2650e74c3 100644
--- a/base/special/besselj1/lib/main.js
+++ b/base/special/besselj1/lib/main.js
@@ -18,7 +18,7 @@
 *
 * ## Notice
 *
-* The original C++ code and copyright notice are from the [Boost library]{@link https://github.com/boostorg/math/blob/develop/include/boost/math/special_functions/detail/bessel_j1.hpp}. The implementation has been modified for JavaScript.
+* The original C++ code and copyright notice are from the [Boost library]{@link https://www.boost.org/doc/libs/1_85_0/boost/math/special_functions/detail/bessel_j1.hpp}. The implementation has been modified for JavaScript.
 *
 * ```text
 * Copyright Xiaogang Zhang, 2006.
diff --git a/base/special/besselj1/src/addon.c b/base/special/besselj1/src/addon.c
index 7e1cba9bc..450f63034 100644
--- a/base/special/besselj1/src/addon.c
+++ b/base/special/besselj1/src/addon.c
@@ -16,8 +16,8 @@
 * limitations under the License.
 */
 
-#include "stdlib/math/base/special/j1.h"
+#include "stdlib/math/base/special/besselj1.h"
 #include "stdlib/math/base/napi/unary.h"
 
 // cppcheck-suppress shadowFunction
-STDLIB_MATH_BASE_NAPI_MODULE_D_D( stdlib_base_j1 )
+STDLIB_MATH_BASE_NAPI_MODULE_D_D( stdlib_base_besselj1 )
diff --git a/base/special/besselj1/src/main.c b/base/special/besselj1/src/main.c
index d08389021..d58893677 100644
--- a/base/special/besselj1/src/main.c
+++ b/base/special/besselj1/src/main.c
@@ -18,7 +18,7 @@
 *
 * ## Notice
 *
-* The original C++ code and copyright notice are from the [Boost library]{@link https://github.com/boostorg/math/blob/develop/include/boost/math/special_functions/detail/bessel_j1.hpp}. The implementation has been modified for use in stdlib.
+* The original C++ code and copyright notice are from the [Boost library]{@link https://www.boost.org/doc/libs/1_85_0/boost/math/special_functions/detail/bessel_j1.hpp}. The implementation has been modified for use in stdlib.
 *
 * ```text
 * Copyright Xiaogang Zhang, 2006.
@@ -29,7 +29,7 @@
 * ```
 */
 
-#include "stdlib/math/base/special/j1.h"
+#include "stdlib/math/base/special/besselj1.h"
 #include "stdlib/math/base/special/sqrt.h"
 #include "stdlib/math/base/special/abs.h"
 #include "stdlib/math/base/special/sincos.h"
@@ -222,10 +222,10 @@ static double rational_psqs( const double x ) {
 * @return     evaluated Bessel function
 *
 * @example
-* double out = stdlib_base_j1( 1.0 );
+* double out = stdlib_base_besselj1( 1.0 );
 * // returns ~0.440
 */
-double stdlib_base_j1( const double x ) {
+double stdlib_base_besselj1( const double x ) {
 	double value;
 	double rc;
 	double rs;