diff --git a/runtime/doc/eval.txt b/runtime/doc/eval.txt
index 12e4d09..9a00dd3 100644
--- a/runtime/doc/eval.txt
+++ b/runtime/doc/eval.txt
@@ -2335,8 +2335,8 @@
 buflisted({expr})		Number	|TRUE| if buffer {expr} is listed
 bufload({expr})			Number	load buffer {expr} if not loaded yet
 bufloaded({expr})		Number	|TRUE| if buffer {expr} is loaded
-bufname({expr})			String	Name of the buffer {expr}
-bufnr({expr} [, {create}])	Number	Number of the buffer {expr}
+bufname([{expr}])		String	Name of the buffer {expr}
+bufnr([{expr} [, {create}]])	Number	Number of the buffer {expr}
 bufwinid({expr})		Number	window ID of buffer {expr}
 bufwinnr({expr})		Number	window number of buffer {expr}
 byte2line({byte})		Number	line number at byte count {byte}
@@ -3217,9 +3217,10 @@
 		Can also be used as a |method|: >
 			let loaded = 'somename'->bufloaded()
 
-bufname({expr})						*bufname()*
+bufname([{expr}])					*bufname()*
 		The result is the name of a buffer, as it is displayed by the
 		":ls" command.
+		If {expr} is omitted the current buffer is used.
 		If {expr} is a Number, that buffer number's name is given.
 		Number zero is the alternate buffer for the current window.
 		If {expr} is a String, it is used as a |file-pattern| to match
@@ -3251,7 +3252,7 @@
 		Obsolete name: buffer_name().
 
 							*bufnr()*
-bufnr({expr} [, {create}])
+bufnr([{expr} [, {create}]])
 		The result is the number of a buffer, as it is displayed by
 		the ":ls" command.  For the use of {expr}, see |bufname()|
 		above.
@@ -3259,7 +3260,7 @@
 		{create} argument is present and not zero, a new, unlisted,
 		buffer is created and its number is returned.
 		bufnr("$") is the last buffer: >
-	:let last_buffer = bufnr("$")
+			:let last_buffer = bufnr("$")
 <		The result is a Number, which is the highest buffer number
 		of existing buffers.  Note that not all buffers with a smaller
 		number necessarily exist, because ":bwipeout" may have removed
@@ -7201,7 +7202,7 @@
 		that was entered at the prompt.  This can be an empty string
 		if the user only typed Enter.
 		Example: >
-		   call prompt_setcallback(bufnr(''), function('s:TextEntered'))
+		   call prompt_setcallback(bufnr(), function('s:TextEntered'))
 		   func s:TextEntered(text)
 		     if a:text == 'exit' || a:text == 'quit'
 		       stopinsert
@@ -7227,7 +7228,7 @@
 		{text} to end in a space.
 		The result is only visible if {buf} has 'buftype' set to
 		"prompt".  Example: >
-			call prompt_setprompt(bufnr(''), 'command: ')
+			call prompt_setprompt(bufnr(), 'command: ')
 <
 prop_ functions are documented here: |text-prop-functions|.