content_image/369978.jpg content_image/369979.jpg content_image/369980.jpg
For even N the polynomiality condition (10) require that 

<img src='content_image/369978.jpg'>

The coefficients ˜ h g ( PS ) N,k ( t ) at powers of ξ in (B25) are given by 

<img src='content_image/369979.jpg'>

The expression for the pseudoscalar forward like function Δ G ( PS ) 0 through the pseudoscalar combination of t -dependent polarized gluon densities g ( PS $^{)}$( y, t ) ≡ Δ g ( y, t )+ τ Δ e $^{g}$( y, t ) reads 

<img src='content_image/369980.jpg'>

[1] D. Mueller, D. Robaschik, B. Geyer, F.M. Dittes, and J. Horejsi, Fortschr. Phys. 42 , 101 (1994); 

A. V. Radyushkin, Phys. Lett. B 380 (1996) 417 [arXiv:hep-ph/9604317]; 

X. D. Ji, Phys. Rev. D 55 (1997) 7114 [arXiv:hep-ph/9609381]; 

J. C. Collins, L. Frankfurt and M. Strikman, Phys. Rev. D 56 (1997) 2982 [arXiv:hep- ph/9611433]. 

[2] X. D. Ji, Phys. Rev. Lett. 78 (1997) 610 [arXiv:hep-ph/9603249]. 

[3] K.Goeke, M.V.Polyakov and M.Vanderhaeghen, Progr. Part. Nucl. Phys. Vol.47, No 2, 401-515 (2001) [arXiv:hep-ph/0106012]. 

[4] M. Diehl, Phys. Rept. 388 , 41 (2003) [arXiv:hep-ph/0307382]. 

[5] A.V. Belitsky and A. V. Radyushkin, Phys. Rept. 418 , 1 (2005), [arXiv:hep-ph/0504030]. 

[6] S. Boffi and B. Pasquini, Riv. Nuovo Cim. 30 , 387 (2007) [arXiv:0711.2625 [hep-ph]]. 

