DLMF:22.15.E19

MaRDI QIDQ7807

• Label: DLMF:22.15.E19

Digital Library of Mathematical Functions ID 22.15.E19

${\displaystyle{\displaystyle\operatorname{arcnc}\left(x,k\right)=\int_{1}^{x}\frac{\mathrm{d}t}{\sqrt{(t^{2}-1)(k^{2}+{k^{\prime}}^{2}t^{2})}},}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\operatorname{arcnc}\left(\NVar{x},\NVar{k}\right)}}$:
• ${\displaystyle{\displaystyle x}}$: real
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle k^{\prime}}}$: complementary modulus
 

Resources that cite this formula

No records found.