$$Y_{\nu }\left(-z\right)=z^{\nu }{Y}_{\nu }\left(z\right){\left(-z\right)}^{-\nu }+\left({\left(-z\right)}^{\nu }{z}^{-\nu }-{\left(-z\right)}^{-\nu }{z}^{\nu }\right)J_{\nu }\left(z\right)\cot \left(\pi \nu \right);\nu \notin \mathbb{Z}$$