diff --git a/spec/API_specification/array_api/elementwise_functions.py b/spec/API_specification/array_api/elementwise_functions.py
index e76be8d65..663ce1776 100644
--- a/spec/API_specification/array_api/elementwise_functions.py
+++ b/spec/API_specification/array_api/elementwise_functions.py
@@ -826,17 +826,32 @@ def imag(x: array, /) -> array:
def isfinite(x: array, /) -> array:
"""
- Tests each element ``x_i`` of the input array ``x`` to determine if finite (i.e., not ``NaN`` and not equal to positive or negative infinity).
+ Tests each element ``x_i`` of the input array ``x`` to determine if finite.
+
+ **Special Cases**
+
+ For real-valued floating-point operands,
+
+ - If ``x_i`` is either ``+infinity`` or ``-infinity``, the result is ``False``.
+ - If ``x_i`` is ``NaN``, the result is ``False``.
+ - If ``x_i`` is a finite number, the result is ``True``.
+
+ For complex floating-point operands, let ``a = real(x_i)``, ``b = imag(x_i)``, and
+
+ - If ``a`` is ``NaN`` or ``b`` is ``NaN``, the result is ``False``.
+ - If ``a`` is either ``+infinity`` or ``-infinity`` and ``b`` is any value, the result is ``False``.
+ - If ``a`` is any value and ``b`` is either ``+infinity`` or ``-infinity``, the result is ``False``.
+ - If ``a`` is a finite number and ``b`` is a finite number, the result is ``True``.
Parameters
----------
x: array
- input array. Should have a real-valued data type.
+ input array. Should have a numeric data type.
Returns
-------
out: array
- an array containing test results. An element ``out_i`` is ``True`` if ``x_i`` is finite and ``False`` otherwise. The returned array must have a data type of ``bool``.
+ an array containing test results. The returned array must have a data type of ``bool``.
"""
def isinf(x: array, /) -> array:
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