FNPHI

FNPHI = “phi” - One of the \(\varphi\)-functions \(\varphi_0(x)\), \(\varphi_1(x)\), …, where the index of the \(\varphi\)-function is specified with FNPhiSetIndex().

Notes

The \(\varphi\)-functions are defined as

\[\begin{split}\begin{align} \varphi_0(x)&=e^x,\\ \varphi_1(x)&=\frac{e^x-1}{x},\\ \varphi_k(x)&=\frac{\varphi_{k-1}(x)-1/(k-1)!}{x}. \end{align}\end{split}\]

The default index is \(k=1\).

See Also

FN: Mathematical Functions, FN, FNType, FNSetType(), FNPhiSetIndex()

Level

beginner

Location

src/sys/classes/fn/impls/phi/fnphi.c

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