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DLMF:9.4.E3

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MaRDI QIDQ3469

  • Label: DLMF:9.4.E3


Digital Library of Mathematical Functions ID 9.4.E3

Bi ⁡ ( z ) = Bi ⁡ ( 0 ) ⁢ ( 1 + 1 3 ! ⁢ z 3 + 1 ⋅ 4 6 ! ⁢ z 6 + 1 ⋅ 4 ⋅ 7 9 ! ⁢ z 9 + ⋯ ) + Bi ′ ⁡ ( 0 ) ⁢ ( z + 2 4 ! ⁢ z 4 + 2 ⋅ 5 7 ! ⁢ z 7 + 2 ⋅ 5 ⋅ 8 10 ! ⁢ z 10 + ⋯ ) , Airy-Bi 𝑧 Airy-Bi 0 1 1 3 superscript 𝑧 3 ⋅ 1 4 6 superscript 𝑧 6 ⋅ 1 4 7 9 superscript 𝑧 9 ⋯ diffop Airy-Bi 1 0 𝑧 2 4 superscript 𝑧 4 ⋅ 2 5 7 superscript 𝑧 7 ⋅ 2 5 8 10 superscript 𝑧 10 ⋯ {\displaystyle{\displaystyle\mathrm{Bi}\left(z\right)=\mathrm{Bi}\left(0\right% )\left(1+\frac{1}{3!}z^{3}+\frac{1\cdot 4}{6!}z^{6}+\frac{1\cdot 4\cdot 7}{9!}% z^{9}+\cdots\right)+\mathrm{Bi}'\left(0\right)\left(z+\frac{2}{4!}z^{4}+\frac{% 2\cdot 5}{7!}z^{7}+\frac{2\cdot 5\cdot 8}{10!}z^{10}+\cdots\right),}}


Constraint(s)

Symbols List

  • Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}} :
  • ! {\displaystyle{\displaystyle!}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 02:56.
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