where g ( x, t ) and e $^{g}$( x, t ) stands for the t -dependent gluon distributions in the nucleon ( xe $^{g}$( x, t ) ≡ E $^{g}$( x, ξ = 0 , t )). Employing the general results (23), (25) one can check that for odd N : Inverting the Mellin moments in (35) we express the forward like functions G ( E,M ) 0 related to the t -dependent gluon distributions The normalization is Thus the information on the fraction of nucleon total angular momentum carried by gluons is encoded in the magnetic forward like function G ( M ) 0 . It is helpful to consider the expansion of electric and magnetic combinations of nucleon gluon GPDs in powers of ξ around ξ = 0 for fixed x ( x > ξ ). For the electric combination 13 Small ξ expansion ∫ 1 0 dxx N − $^{1}$H g ( E $^{)}$( x, ξ = 0 , t ) = ∫ 1 0 dxx $^{N}$g ( E $^{)}$( x, t ) = ( N + 2)( N + 3) 3(2 N + 3) B g ( E ) N,N $_{+1}$( t ) ; 1 0 dxx N − $^{1}$H g ( M $^{)}$( x, ξ = 0 , t ) = 1 0 dxx $^{N}$g ( M $^{)}$( x, t ) = ( N + 1)( N + 2)( N + 3) 3(2 N + 3) B g ( M ) N,N $_{+1}$( t ) . (35) G ( E ) 0 ( x, t ) = 9 x 2 ∫ 1 x dy y $_{3}$g ( E $^{)}$( y, t ) − 3 x ∫ 1 x dy y $_{2}$g ( E $^{)}$( y, t ) ; G ( M ) 0 ( x, t ) = − 9 2 x 2 ∫ 1 x dy y $_{3}$g ( M $^{)}$( y, t ) + 3 x ∫ 1 x dy y $_{2}$g ( M $^{)}$( y, t ) + 3 2 ∫ 1 x dy y g ( M $^{)}$( y, t ) . (36) ∫ 1 0 dxxG ( E ) 0 ( x, t ) = 5 4 M g $_{2}$( t ) ; 1 0 dxxG ( M ) 0 ( x, t ) = 5 8 2 J $^{g}$( t ) . (37)