Douglas Harper's Etymology Dictionary
holomorphic
1880, from holo- + morphic (see metamorphosis).
Wiktionary
holomorphic
a. (context complex analysis of a complex function English) complex-differentiable on an (soplink open set) around every point in its domain.
Usage examples of "holomorphic".
Various kinds of poles are a point of a sphere, a place where a force is concentrated, the vertex of lines in that plane that belongs to a given linear complex, morphologically or physiologically differentiated areas of an axis, a point where a function complex variable becomes infinite so that the reciprocal of the function is holomorphic in the immediate neighborhood of the point---Are you listening, dog face?