Jν⁡(z)=2⁢sin⁡(12⁢ν⁢π)⁢∑k=0∞(-1)k⁢Jk-12⁢ν+12⁡(12⁢z)⁢Jk+12⁢ν+12⁡(12⁢z)+2⁢cos⁡(12⁢ν⁢π)⁢∑′k=0∞⁢(-1)k⁢Jk-12⁢ν⁡(12⁢z)⁢Jk+12⁢ν⁡(12⁢z),