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Formula:4638

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Digital Library of Mathematical Functions ID 11.4.E9

𝐇 3 2 ⁑ ( z ) = ( z 2 ⁒ Ο€ ) 1 2 ⁒ ( 1 + 2 z 2 ) - ( 2 Ο€ ⁒ z ) 1 2 ⁒ ( sin ⁑ z + cos ⁑ z z ) , Struve-H 3 2 𝑧 superscript 𝑧 2 πœ‹ 1 2 1 2 superscript 𝑧 2 superscript 2 πœ‹ 𝑧 1 2 𝑧 𝑧 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\frac{3}{2}}\left(z\right)=\left(\frac% {z}{2\pi}\right)^{\frac{1}{2}}\left(1+\frac{2}{z^{2}}\right)-\left(\frac{2}{% \pi z}\right)^{\frac{1}{2}}\left(\sin z+\frac{\cos z}{z}\right),}}


Constraint(s)

Symbols List

  • 𝐇 Ξ½ ⁑ ( z ) Struve-H 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}} : Struve function
  • Ο€ {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • cos ⁑ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • sin ⁑ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine 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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