Angular Wave Function of three p and five d Orbitals

Angular Wave Function of three p and five d Orbitals with normalization factors

Angular wave function of three p and five d orbitals with normalization factors are given below-
For p orbital, l = 1
l = 1       m = 0         (2p_z)       =     cosθ

l = 1       m = +1       (2p_x)       =     sinθ.cosφ

l = 1       m = −1       (2p_y)       =     sinθ.sinφ

For d orbital, l = 2
l = 2       m = 0         (3d_z²)       =     3cos²θ − 1

l = 2       m = +1         (d_xz)       =     sinθ.cosθ.cosφ

l = 2       m = −1         (d_yz)       =     sinθ.cosθ.sinφ

l = 2       m = +2         (d_x²−y²)       =     sin²θ.cos²φ

l = 2       m = −2         (d_xy)       =     sin²θ.sin²φ