Anger function

In mathematics, the Anger function, introduced by C. T. Anger (1855), is a function defined as J ν ( z ) = 1 π ∫ 0 π cos ⁡ ( ν θ − z sin ⁡ θ ) d θ {\displaystyle \mathbf {J} _{\nu }(z)={\frac {1}{\pi }}\int _{0}^{\pi }\cos(\nu \theta -z\sin \theta )\,d\theta } with complex parameter ν {\displaystyle \nu } and complex variable ⁠ z {\displaystyle {\textit {z}}} ⁠. It is closely related to the Bessel functions.

Source: Wikipedia — Anger function (CC BY-SA 4.0)

Anger function

In mathematics, the Anger function, introduced by C. T. Anger (1855), is a function defined as J ν ( z ) = 1 π ∫ 0 π cos ⁡ ( ν θ − z sin ⁡ θ ) d θ {\displaystyle \mathbf {J} _{\nu }(z)={\frac {1}{\pi }}\int _{0}^{\pi }\cos(\nu \theta -z\sin \theta )\,d\theta } with complex parameter ν {\displaystyle \nu } and complex variable ⁠ z {\displaystyle {\textit {z}}} ⁠. It is closely related to the Bessel functions.

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Source: Wikipedia "Anger function" · CC BY-SA 4.0

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