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Hypertranscendental function : ウィキペディア英語版 | Hypertranscendental function A hypertranscendental function or transcendentally transcendental function is an analytic function which is not the solution of an algebraic differential equation with coefficients in Z (the integers) and with algebraic initial conditions. All hypertranscendental functions are transcendental functions. ==History==
The term 'transcendentally transcendental' was introduced by E. H. Moore in 1896; the term 'hypertranscendental' was introduced by D. D. Morduhai-Boltovskoi in 1914.〔D. D. Mordykhai-Boltovskoi, "On hypertranscendence of the function ξ(x, s)", ''Izv. Politekh. Inst. Warsaw'' 2:1-16 (1914), cited in Anatoly A. Karatsuba, S. M. Voronin, ''The Riemann Zeta-Function'', 1992, ISBN 3-11-013170-6, (p. 390 )〕
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