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Hypertranscendental number : ウィキペディア英語版
Hypertranscendental number
A complex number is said to be hypertranscendental if it is not the value at an algebraic point of a function which is the solution of an algebraic differential equation with coefficients in Z() and with algebraic initial conditions.
The term was introduced by D. D. Morduhai-Boltovskoi in "Hypertranscendental numbers and hypertranscendental functions" (1949).
The term is related to transcendental numbers, which are numbers which are not a solution of a non-zero polynomial equation with rational coefficients. The number ''e'' is transcendental but not hypertranscendental, as it can be generated from the solution to the differential equation y' = y.
Any hypertranscendental number is also a transcendental number.
==See also==

* Hypertranscendental function

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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