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Formula:4636

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Digital Library of Mathematical Functions ID 11.4.E7

𝐋 1 2 ⁡ ( z ) = ( 2 π ⁢ z ) 1 2 ⁢ ( cosh ⁡ z - 1 ) , modified-Struve-L 1 2 𝑧 superscript 2 𝜋 𝑧 1 2 𝑧 1 {\displaystyle{\displaystyle\mathbf{L}_{\frac{1}{2}}\left(z\right)=\left(\frac% {2}{\pi z}\right)^{\frac{1}{2}}(\cosh z-1),}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}} : hyperbolic cosine function
  • 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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