The wave a mother gives her child to come over to her is an example of a beckon.
An example of beckon is the ocean calling to a surfer.
Motioning with a nod for a friend to join you is an example of to beckon.
The woods beckon.
Origin of beckon
- Middle English bekenen from Old English bīecnan, bēcnan bhā-1 in Indo-European roots
From American Heritage Dictionary of the English Language, 5th Edition