]> $$Y_v\left(z\right)=-\frac{\Gamma \left(v\right)}{\pi }\sum _{k=0}^{\infty }\frac{{\left(-1\right)}^k{\left(\frac{z}{2}\right)}^{2k-v}}{{\left(1-v\right)}_{k}k!}-\frac{\Gamma \left(-v\right)\cos \left(v\pi \right)}{\pi }\sum _{k=0}^{\infty }\frac{{\left(-1\right)}^k{\left(\frac{z}{2}\right)}^{2k+v}}{{\left(v+1\right)}_{k}k!};v\notin \mathbb{Z}$$