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Formula:4616

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Digital Library of Mathematical Functions ID 11.2.E4

𝐋 0 ⁡ ( z ) = 2 π ⁢ ( z + z 3 1 2 ⋅ 3 2 + z 5 1 2 ⋅ 3 2 ⋅ 5 2 + ⋯ ) . modified-Struve-L 0 𝑧 2 𝜋 𝑧 superscript 𝑧 3 ⋅ superscript 1 2 superscript 3 2 superscript 𝑧 5 ⋅ superscript 1 2 superscript 3 2 superscript 5 2 ⋯ {\displaystyle{\displaystyle\mathbf{L}_{0}\left(z\right)=\frac{2}{\pi}\left(z+% \frac{z^{3}}{1^{2}\cdot 3^{2}}+\frac{z^{5}}{1^{2}\cdot 3^{2}\cdot 5^{2}}+% \cdots\right).}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • 𝐋 ν ⁡ ( z ) modified-Struve-L 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)}} : modified Struve function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 28 January 2024, at 10:30.
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