Stirling pairs

L. Carlitz

Rendiconti del Seminario Matematico della Università di Padova (1978)

  • Volume: 59, page 19-44
  • ISSN: 0041-8994

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Carlitz, L.. "Stirling pairs." Rendiconti del Seminario Matematico della Università di Padova 59 (1978): 19-44. <http://eudml.org/doc/107678>.

@article{Carlitz1978,
author = {Carlitz, L.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Stirling numbers; Bernoulli numbers of higher order},
language = {eng},
pages = {19-44},
publisher = {Seminario Matematico of the University of Padua},
title = {Stirling pairs},
url = {http://eudml.org/doc/107678},
volume = {59},
year = {1978},
}

TY - JOUR
AU - Carlitz, L.
TI - Stirling pairs
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1978
PB - Seminario Matematico of the University of Padua
VL - 59
SP - 19
EP - 44
LA - eng
KW - Stirling numbers; Bernoulli numbers of higher order
UR - http://eudml.org/doc/107678
ER -

References

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  1. [1] L. Carlitz, Note on the Nörlund polynomial B(z)n, Proceedings of the American Mathematical Society, 11 (1960), pp. 452-455. Zbl0100.01705MR114768
  2. [2] L. Carlitz, Note on the numbers of Jordan and Ward, Duke Mathematical Journal, 38 (1971), pp. 783-790. Zbl0228.05005MR292693
  3. [3] L. Carlitz, Some numbers related to the Stirling numbers of the first and second kind, Publications de la Faculté d'Electrotechnique de l'Université à Belgrade, Ser. Math. Phys. (1977), pp. 49-55. Zbl0362.05010MR444485
  4. [4] L. Carlitz, Polynomial representations and compositions, Houston Journal of Mathematics, 2 (1976), pp. 23-48. Zbl0328.05005MR396398
  5. [5] L. Carlitz, A special class of triangular arrays, Collectanea Mathematica, 27 (1976), pp. 23-58. Zbl0339.05011MR403985
  6. [6] L. Carlitz, Generalized Stirling and related numbers, Rivista di Matematica della Università di Parma, to appear. Zbl0402.10011MR540683
  7. [7] H.W. Gould, Stirling number representation problems, Proceedings of the American Mathematical Society, 11 (1960), pp. 447-451. Zbl0100.01704MR114767
  8. [8] C. Jordan, Calculus of Finite Differences, Chelsea, New York, 1947. Zbl0041.05401
  9. [9] N.E. Nörlund, Vorlesungen über Differenzenrechnung, Springer, Berlin, 1924. JFM50.0315.02
  10. [10] J. Riordan, AnIntroduction to Combinatorial Analysis, Wiley, New York, 1958. Zbl0078.00805MR96594
  11. [11] L. Schläfli, Ergänzung der Abhandlung über die Entwickelung des Produkts..., J. Reine Angew Math., 44 (1952), pp. 344-355. 
  12. [12] W. Morgan, The representation of Stirling's numbers and Stirling's polynomials as a sum of factorials, American Journal of Mathematics, 56 (1934), pp. 87-95. Zbl0008.25703MR1507004

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