Synonym: Analytic expression = Explicit expression
Mathematical expression expressed using a finite number of basic arithmetic operations over the numbers, elementary functions or tabulated special functions and may include infinite series and continued fractions.
The key difference with closed-form expression is that analytic expression may include tabulated special functions, infinite series and continued fractions.
The key benefit of dealing with closed-form expressions is that they are:
Formal science / Mathematics / Calculus / Mathematical expression
[ Quadrature ][ Implicit expression ][ Analytic expression ][ Closed-form expression ]