The Collaborative International Dictionary
Decurrent \De*cur"rent\, a. [L. decurrens, -entis, p. pr. of decurrere to run down; de- + currere to run: cf. F. d['e]current.] (Bot.) Extending downward; -- said of a leaf whose base extends downward and forms a wing along the stem. -- De*cur"rent*ly, adv.
Wiktionary
a. 1 (context botany English) Pertaining to plant parts that extend downward, most often applied to leaf blades that partly wrap or have wings around the stem or petiole and extend down along the stem. 2 (context mycology English) Pertaining to lamellae (the gills of a mushroom) that are broadly attached and extend down the stipe of the mushroom. 3 (context obsolete English) running or extending downwards.
Wikipedia
Decurrent is a term used in botany and mycology to describe plant or fungal parts that extend downward.
In botany, the term is most often applied to leaf blades that partly wrap or have wings around the stem or petiole and extend down along the stem. A "decurrent branching habit" is a plant form common for shrubs and most angiosperm trees, contrasted with the excurrent or "cone-shaped crown" common among many gymnosperms. The decurrent habit is characterized by having weak apical dominance that eventually produces a rounded or spreading tree crown. Examples of trees with decurrent habit are most hardwood trees: oak, hickory, maple, etc.
In mycology, the term is most often applied to the hymenophore of a basidiocarp (such as the lamellae or "gills" of a mushroom or the "pores" of a bracket fungus) when it is broadly attached to and extends down the stipe.