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Formula:4669

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Digital Library of Mathematical Functions ID 11.5.E5

𝐌 0 ⁡ ( z ) = - 2 π ⁢ ∫ 0 π / 2 e - z ⁢ cos ⁡ θ ⁢ d θ , associated-Struve-M 0 𝑧 2 𝜋 superscript subscript 0 𝜋 2 superscript 𝑒 𝑧 𝜃 𝜃 {\displaystyle{\displaystyle\mathbf{M}_{0}\left(z\right)=-\frac{2}{\pi}\int_{0% }^{\pi/2}e^{-z\cos\theta}\mathrm{d}\theta,}}


Constraint(s)

Symbols List

  • 𝐌 ν ⁡ ( z ) associated-Struve-M 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{M}_{\NVar{\nu}}\left(\NVar{z}\right)}} : modified Struve function
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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