三角積分
超幾何級数
Si  ( z ) = z ⋅ 2 F 1 [ 1 2 3 2 , 3 2 ; − z 2 4 ] {\displaystyle \operatorname {Si} (z)=z\cdot {_{2}F_{1}}\left[{\begin{matrix}{\frac {1}{2}}\\{\frac {3}{2}},{\frac {3}{2}}\end{matrix}};-{\frac {z^{2}}{4}}\right]}
Ci  ( z ) = γ + log  z − z 2 4 ⋅ 2 F 3 [ 1 , 1 2 , 2 , 3 2 ; − z 2 4 ] {\displaystyle {\begin{aligned}\operatorname {Ci} (z)&=\gamma +\log {z}-{\frac {z^{2}}{4}}\cdot {_{2}F_{3}}\left[{\begin{matrix}1,1\\2,2,{\frac {3}{2}}\end{matrix}};-{\frac {z^{2}}{4}}\right]\\\end{aligned}}}