Hν⁡(z)=4π1/2⁢Γ⁡(ν+12)⁢∑k=0∞(2⁢k+ν+1)⁢Γ⁡(k+ν+1)k!⁢(2⁢k+1)⁢(2⁢k+2⁢ν+1)⁢J2⁢k+ν+1⁡(z),