Formula:3950

Digital Library of Mathematical Functions ID 10.20.E3

${\displaystyle{\displaystyle\frac{2}{3}(-\zeta)^{\frac{3}{2}}=\int_{1}^{z}\frac{\sqrt{t^{2}-1}}{t}\mathrm{d}t=\sqrt{z^{2}-1}-\operatorname{arcsec}z,}}$

Constraint(s)

${\displaystyle{\displaystyle 1\leq z<\infty}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\operatorname{arcsec}\NVar{z}}}$: arcsecant function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\zeta(z)}}$: solution
 

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