The explicit expression for the electric combination of gluon GPDs H g ( E ) through the corresponding forward like functions reads: Note, that the second term in (28) is the pure D -term contribution. The result for the magnetic combination of gluon GPDs H g ( M ) can be obtained in the similar way applying the differential operator ( 1 − x ∂ ∂x − ξ ∂ ∂ξ ) : The functions H g ( E, M ) ( ν $^{)}$( x, ξ, t ) which appear in (28) and (29) defined for − ξ ≤ x ≤ 1 are given by the following integral transformations: with $^{P}$− $_{n}$( χ ) ≡ $^{P$_{n}$}$− $_{1}$( χ ). Here, as usual, x$_{s}$ = 2 x − ξs (1 s $^{2}$) $_{y}$; s$_{i}$ , ( i = 1 , ... 4) stand for the four roots of the equation 2 x$_{s}$ − x 2 s − ξ 2 = 0 (see (A12) for the definitions) and y$_{0}$ is defined in (A14). The integrals in (30) are well convergent for the set of the forward like functions with the following small- y behavior G$_{2}$$_{ν}$ ( y ) ∼ 1 y 2 ν + α with α < 2. H g ( E $^{)}$( x, ξ, t ) = ∞ ∑ ν =0 ξ 2 ν 2 [ H g ( E ) ( ν $^{)}$( x, ξ, t ) + H g ( E ) ( ν $^{)}$( − x, ξ, t ) ] + ∞ ∑ ν =1 θ ( 1 − x 2 ξ 2 ) ( 1 − x 2 ξ 2 ) 2 ξC$^{5}$ 2 ν − 2 ( x ξ ) B g ( E ) 2 ν − $_{1 0}$( t ) . (28) H g ( M $^{)}$( x, ξ, t ) = ∞ ∑ ν =0 [( 1 − x ∂ ∂x − ξ ∂ ∂ξ ) ξ 2 ν 2 [ H g ( M ) ( ν $^{)}$( x, ξ, t ) + H g ( M ) ( ν $^{)}$( − x, ξ, t ) ] ] . (29) H g ( E, M ) ( ν $^{)}$( x, ξ, t ) = θ ( x > ξ ) 1 π ∫ 1 y$_{0}$ dy [ 1 3 ( 1 − y ∂ ∂y + 1 2 y 2 ∂ 2 ∂y 2 ) G ( E, M ) 2 ν ( y, t ) ] ∫ s$_{2}$ s$_{1}$ ds x 2 − 2 ν s (1 − s $^{2}$) √ 2 x$_{s}$ − x 2 s − ξ 2 + θ ( | x | < ξ ) 1 π 1 0 dy 1 3 1 − y ∂ ∂y + 1 2 y 2 ∂ 2 ∂y 2 G ( E, M ) 2 ν ( y, t ) ] { ∫ s$_{3}$ s$_{1}$ ds x 2 2 ν s (1 − s $^{2}$) 2 x$_{s}$ − x 2 s − ξ 2 − π ξ 2 ν ( 1 − x 2 ξ 2 ) 2 2 ν − 3 ∑ l = − 1 C$^{5}$ 2 2 ν − l − 3 ( x ξ ) ξP$_{l}$ ( 1 ξ ) 6 y 2 ν − l − 2 (2 ν − l )(2 ν − l + 1) } , (30) 11