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  1. F.Bergeron, G. Labelle, P. Leroux and M. Readdy , Combinatorial species and tree-like structures, Cambridge University Press, 1998.

  2. A.Di Bucchianico and D.E. Loeb, A Selected Survey of Umbral Calculus, Electron. J. Combin. 2(1995), #DS3.

  3. A. Di Bucchianico, D.E. Loeb and G.C. Rota, Umbral Calculus in Hilbert Space, Mathematical Essays in honor of Gian-Carlo Rota, Progress in Mathematics Volume 161, Springer, 1998:213-238.

  4. F. Bergeron, G. Labelle and P. Leroux, Introduction to the Theory of Species of Structuresm, 2008.

  5. W.Y.C. Chen, The theory of compisitionals, Discrete Math. 122(1993) 59-87.

  6. R. Langer, Macdonald polynomials and symmetric functions, arXiv:0907.3950.

  7. R. Langer, Symmetric functions and Macdonald polynomials, Ms.t thesis, University of Melbourne, 2008.

  8. M.A. Méndez, Species on Digraphs, Adv. in Appl. Math. 123(1996) 243--275.

  9. M.A. Méndez, The Umbral Calculus of Symmmetric Functions, Adv. in Appl. Math. 1241996207--271.

  10. M.A. Méndez, Umbral Shifts and Symmetric Functions of Schur Type, Mathematical Essays in honor of Gian-Carlo Rota, Volume 161 of the series Progress in Mathematics, pp 285-303.

  11. D. Port, Polynomial maps with applications to combinatorics and probability theory ,Ph.D Thesis, University of California, 1989.

  12. D. Senato and A. Venezia, A set-theoretic interpretation of the umbral calculus, Comput. Math. Appl. 41(2001) 1109-1124.

  13. T. Yoshida, Categorical Aspects of Generating Functions (I) : Exponential Formulas and Krull-Schmidt Categories, J. Algebra, 240(2001) 40-82.

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