Section coefficients and section sequences

Marilena Barnabel; Andrea Brini; Gian-Carlo Rota

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1980)

  • Volume: 68, Issue: 1, page 5-12
  • ISSN: 0392-7881

How to cite

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Barnabel, Marilena, Brini, Andrea, and Rota, Gian-Carlo. "Section coefficients and section sequences." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 68.1 (1980): 5-12. <http://eudml.org/doc/288697>.

@article{Barnabel1980,
author = {Barnabel, Marilena, Brini, Andrea, Rota, Gian-Carlo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {1},
number = {1},
pages = {5-12},
publisher = {Accademia Nazionale dei Lincei},
title = {Section coefficients and section sequences},
url = {http://eudml.org/doc/288697},
volume = {68},
year = {1980},
}

TY - JOUR
AU - Barnabel, Marilena
AU - Brini, Andrea
AU - Rota, Gian-Carlo
TI - Section coefficients and section sequences
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1980/1//
PB - Accademia Nazionale dei Lincei
VL - 68
IS - 1
SP - 5
EP - 12
LA - eng
UR - http://eudml.org/doc/288697
ER -

References

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  1. Barnabei, M., Brini, A. e Rota, G.-C. (1979) - Sistemi di coefficienti sezionali, «Centro di Analisi Globale», Firenze. 
  2. Doubilet, P., Rota, G.-C. and Stanley, R. (1972) - On the Foundations of Combinatorial Theory VI: the idea of generating function, «Sixth Berkeley Symposium on Mathematical Statistics and Probability», 2, Berkeley University Press, 267-318. Zbl0267.05002MR403987
  3. Faà di Bruno, F. (1876) - Théorie des formes binaires, Turin, Libr. Brero. 
  4. Garsia, A.M. (1973) - An exposé of the Mullin-Rota theory of polynomials of binomial type, «J. Linear and Multilinear Algebra», 1, 43. MR319779
  5. Henle, M. (1975) - Binomial enumeration on dissects, «Trans. Am. Math. Soc.», 202, 1- 38. MR357133
  6. Joni, S.A. (1977) - Polynomials of binomial type and the Lagrange inversion formula, «Ph. D. thesis», University of California. 
  7. Joni, S.A. and Rota, G.-C. - Coalgebras and bialgebras in combinatorics, «Studies in Applied Mathematics», 61 (2), 1979. MR544721
  8. Mullin, R. and Rota, G.-C. (1970) - On the Foundations of Combinatorial Theory III: theory of binomial enumeration, Graph Theory and its Applications, «Academic Press», New York and London, 167-213. MR274300
  9. Polya, G. (1956) - Picture writing, American Math. Monthly, 63, 689. MR81865
  10. Roman, S. (1979) - The algebra of formal series, «Advances in Mathematics», 31, (3), 309-329. Zbl0403.05003MR532838
  11. Roman, S. and Rota, G.-C. (1978) - The Umbral Calculus, «Advances in Mathematics», 27, (2) 95-188. MR485417
  12. Rota, G.-C., Kahaner, D. and Odlyzko, A. (1973) - Finite Operator Calculus, «J. Math. Appl.», 42, 685-760. Zbl0267.05004
  13. Sweedler, M.E. (1969) - Hopf Algebras, W.A. Benjamin, New York. MR252485
  14. Tutte, W.T. (1967) - On dichromatic Polynomials, «J. Combinatorial Theory», 2, 301. MR223272

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