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I am not a mathematician, and don't know much about hypertranscendentals, but Shannon's 1941 analysis of the differential analyzer (available in his Collected Papers; see p. 507) includes the phrase, "providing the functions f_k are combinations of non-hypertranscendental functions" when discussing the computational power of the D.A. This suggests that the term was in common use by then, though perhaps its definition was not yet formalized.
Rdv (talk) 22:13, 22 June 2008 (UTC)Reply