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Fungrim entry: d154dd

Symbol: HankelH2 Hν(2) ⁣(z)H^{(2)}_{\nu}\!\left(z\right) Hankel function of the second kind
The following table lists all conditions such that HankelH2(nu, z) is defined in Fungrim.
Domain Codomain
Numbers
νCandzC{0}\nu \in \mathbb{C} \,\mathbin{\operatorname{and}}\, z \in \mathbb{C} \setminus \left\{0\right\} Hν(2) ⁣(z)CH^{(2)}_{\nu}\!\left(z\right) \in \mathbb{C}
Table data: (P,Q)\left(P, Q\right) such that (P)    (Q)\left(P\right) \implies \left(Q\right)
Definitions:
Fungrim symbol Notation Short description
HankelH2Hν(2) ⁣(z)H^{(2)}_{\nu}\!\left(z\right) Hankel function of the second kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("d154dd"),
    SymbolDefinition(HankelH2, HankelH2(nu, z), "Hankel function of the second kind"),
    Description("The following table lists all conditions such that", SourceForm(HankelH2(nu, z)), "is defined in Fungrim."),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(TableSection("Numbers"), Tuple(And(Element(nu, CC), Element(z, SetMinus(CC, Set(0)))), Element(HankelH2(nu, z), CC)))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2020-01-31 18:09:28.494564 UTC