Descriptive differential dynamics: addition formulae in symmetrical differential operators

Analysis and differential analysis, the identity dimension and 1/x, indeterminate and singular forms, fin de siecle and Y2K, differential analysis as a field, descriptive differential dynamics, contrivances, addition formulas (formulae), operator calculus and orders and ranks in powers, differential operators, "power-taking addition formulae", "anti-operators", 1/x to ln x and x to 0 as symmetrical anti-operators, hypergeometric functions, series and combined series, series in growing and vanishing terms, parameters, distributions and shape and scale parameters, identity dimension and trivial solutions, identity and zero.