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DLMF:9.4.E4

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MaRDI QIDQ3470

  • Label: DLMF:9.4.E4


Digital Library of Mathematical Functions ID 9.4.E4

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

Resources that cite this formula

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