Formula:8173

Digital Library of Mathematical Functions ID 24.7.E4

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \BernoullinumberB{2n}=(-1)^{n+1}\pi\int_{0}^{\infty}t^{2n}\csch^{2}@{\pi t}\diff{t},}

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\operatorname{csch}\NVar{z}}}$: hyperbolic cosecant function
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle t}}$: real or complex
 

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