Formula:8180

Digital Library of Mathematical Functions ID 24.7.E11

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \BernoullipolyB{n}@{x}=\frac{1}{2\pi i}\int_{-c-i\infty}^{-c+i\infty}(x+t)^{n}\left(\frac{\pi}{\sin@{\pi t}}\right)^{2}\diff{t},}

Constraint(s)

${\displaystyle{\displaystyle 0<c<1}}$

Symbols List

• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \BernoullipolyB{\NVar{n}}@{\NVar{x}}} :
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \cpi} : the ratio of the circumference of a circle to its diameter
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \diff{\NVar{x}}} : differential of x
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle t}}$: real or complex
• ${\displaystyle{\displaystyle x}}$: real or complex
 

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