Formula:8178

Digital Library of Mathematical Functions ID 24.7.E9

${\displaystyle{\displaystyle E_{2n}\left(x\right)=(-1)^{n}4\int_{0}^{\infty}\frac{\sin\left(\pi x\right)\cosh\left(\pi t\right)}{\cosh\left(2\pi t\right)-\cos\left(2\pi x\right)}t^{2n}\mathrm{d}t,}}$

Symbols List

• ${\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\cosh\NVar{z}}}$: hyperbolic cosine function
• ${\displaystyle{\displaystyle\int}}$: 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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