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Hypertranscendental function
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<p> A hypertranscendental function or transcendentally transcendental function is a <a href="/facts/Transcendental_function/yMkeq4Eo">transcendental</a> <a href="/facts/Analytic_function/JhL3z8FP">analytic function</a> which is not the solution of an <a href="/facts/Algebraic_differential_equation/g4efkb2F">algebraic differential equation</a> with coefficients in Z {\displaystyle \mathbb {Z} } (the <a href="/facts/Integer/PUwwrawx">integers</a>) and with algebraic <a href="/facts/Initial_condition/sA4ohFP4">initial conditions</a>. </p>