Formula:3425

Digital Library of Mathematical Functions ID 8.21.E6

${\displaystyle{\displaystyle\mathrm{Si}\left(a,z\right)=\int_{0}^{z}t^{a-1}\sin t\mathrm{d}t,}}$

Constraint(s)

${\displaystyle{\displaystyle\Re a>-1}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{a},\NVar{z}\right)}}$: generalized sine integral
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle a}}$: parameter
 

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