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Formula:4743

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Digital Library of Mathematical Functions ID 11.10.E25

𝐄 Ξ½ ⁑ ( 0 ) = 1 - cos ⁑ ( Ο€ ⁒ Ξ½ ) Ο€ ⁒ Ξ½ . Weber-E 𝜈 0 1 πœ‹ 𝜈 πœ‹ 𝜈 {\displaystyle{\displaystyle\displaystyle\mathbf{E}_{\nu}\left(0\right)=\frac{% 1-\cos\left(\pi\nu\right)}{\pi\nu}.}}


Constraint(s)

Symbols List

  • 𝐉 Ξ½ ⁑ ( z ) Anger-J 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\NVar{\nu}}\left(\NVar{z}\right)}} : Anger function
  • 𝐄 Ξ½ ⁑ ( z ) Weber-E 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}} : Weber 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
  • Ξ½ 𝜈 {\displaystyle{\displaystyle\nu}} : real or complex order
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 02:05.
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