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Fungrim entry: b88f65

BranchPoints ⁣(CAi ⁣(z)+DBi ⁣(z),z,C{~})={}\operatorname{BranchPoints}\!\left(C \operatorname{Ai}\!\left(z\right) + D \operatorname{Bi}\!\left(z\right), z, \mathbb{C} \cup \left\{{\tilde \infty}\right\}\right) = \left\{\right\}
Assumptions:CCandDCC \in \mathbb{C} \,\mathbin{\operatorname{and}}\, D \in \mathbb{C}
TeX:
\operatorname{BranchPoints}\!\left(C \operatorname{Ai}\!\left(z\right) + D \operatorname{Bi}\!\left(z\right), z, \mathbb{C} \cup \left\{{\tilde \infty}\right\}\right) = \left\{\right\}

C \in \mathbb{C} \,\mathbin{\operatorname{and}}\, D \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
AiryAiAi ⁣(z)\operatorname{Ai}\!\left(z\right) Airy function of the first kind
AiryBiBi ⁣(z)\operatorname{Bi}\!\left(z\right) Airy function of the second kind
CCC\mathbb{C} Complex numbers
UnsignedInfinity~{\tilde \infty} Unsigned infinity
Source code for this entry:
Entry(ID("b88f65"),
    Formula(Equal(BranchPoints(Add(Mul(C, AiryAi(z)), Mul(D, AiryBi(z))), z, Union(CC, Set(UnsignedInfinity))), Set())),
    Variables(C, D),
    Assumptions(And(Element(C, CC), Element(D, CC))))

Topics using this entry

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

2019-10-05 13:11:19.856591 UTC