Formula:2979

Digital Library of Mathematical Functions ID 6.10.E4

${\displaystyle{\displaystyle\mathrm{Si}\left(z\right)=z\sum_{n=0}^{\infty}\left(\mathsf{j}_{n}\left(\tfrac{1}{2}z\right)\right)^{2},}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}}$: sine integral
• ${\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}$: spherical Bessel function of the first kind
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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