 The term 'transcendentally transcendental' was introduced by E. H. Moore in 1896; the term 'hypertranscendental' was introduced by D. D. Morduhai-Boltovskoi in 1914.One standard definition (there are slight variants) defines solutions of differential equations of the form
where formula_2 is a polynomial with constant coefficients, as "algebraically transcendental" or "differentially algebraic".Transcendental functions which are not "algebraically transcendental" are "transcendentally transcendental".